Predator gun?

What types of predators are you thinking about? Fox, bobcat, coyotes?
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I have no experience with anything above .25 but I've heard the 30s are very nice. A .25 Marauder would likely do all you need unless you're thinking about coyotes. If so, I'd lean towards the .30 and ensure my platform was shooting MOA or 1" at 100 yards since closer shots on the coyotes would likely be uncommon (depending on where you're located at least).

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Pumping a marauder is definitely manageable. If you're in a high humidity area moisture might become a concern.

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Also, why no optic? Are you trying for an increased challenge or to save funds?

"Scrufhunter"I was looking for a coyote gun. I was wanting opinions on a riffle. I don't have access to any PCPs of that size, so trying to make a decision without handling or test firing is hard. I have plenty optics, and enough experience with optics o don't really need advice on them. I already have a 177 marauder and pump. I don't have access to a place to fill gun/bottles.
The 25 I think maybe to light for coyotes, atleast here, it's pretty open so need something that can nock them.down from distance. I am.archery hunt so if I could get in archery range I would just use my bow 50/60 yards but them dogs are pretty weary so they put up distance pretty quick

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Gotcha - I've purchased all my last PCPs "blind" so to speak since I've never lived close to a high end airgun store.
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I have hunted coyotes with a 22-250 but if I were going with a PCP I'd go with the .30. I know of at least a couple of folks who use the AirForce Texan www.pyramydair.com/s/m/AirForce_Texan_Big_Bore_Air_Rifle/3575/7497
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If the Texan is out of your price range, I've also read good things about Hatsan's products (this one is listed as having an ambidextrous stock):
www.pyramydair.com/s/m/Hatsan_BT_Big_Bore_Carnivore_QE_Air_Rifle/3571/6895
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Lastly, I found this article pretty informative and specific to airgunning for coyotes: www.airgunsofarizona.com/hunting/2012/09/predator-hunting-the-airgunners-grand-slam/
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I'm sure someone on the forum here has got a rig set up like you're looking for and can weigh in with more details.

"Scrufhunter"I've been wanting to give hatsan a go.
I think the .30 hatsan is the way to go of those two. It is bolt action, but unclear if the bolt is able to be made to operate left handed. I am.wanting a repeater. I think most shots would be taken at 75 plus yards. Like I said they are pretty weary. If you stumble on one in the field they bolt and don't stop to turn around for a good 75plus yards.

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Not to muddy the water but Evanix also has a strong following among folks who hunt larger game (hogs are mostly what I've seen videos of and read about). I think the biggest challenge you'll face is finding a big bore repeater at a reasonable price that will allow you to reverse the bolt or purchase in a left hand configuration.
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This Evanix model looks interesting for a left handed shooter depending on how soon you plan on buying: http://www.evanix.com/ibex.html
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Last thing I thought of, and you probably know this, for coyotes a cast slug would be the best ammo choice for good killing performance. I saw a youtube video where a guy was hunting coyotes with a .30 and the kills were not exactly clean. Perhaps it was bad shooting but I wouldn't trust a standard round nosed pellet on game of that size.

Ar15 in 223

.30 or 9mm Evanix Rainstorm would be a good one. Hand pumping it’s tube reservoir would be manageable. It has an ambi stock. They are known to be great hunters. You don’t really need a lefty action, you can actuate the sidelever with your right hand while keeping your left hand on the ready to fire (I shoot Southpaw also). I would personally go for a .30. Even a .25 would be good for well placed head shots.

https://www.pyramydair.com/s/m/Evanix_Rainstorm_II_PCP_Air_Rifle/2750

The 9 mm/.357 is out of stock until May . The .30 is also on sale, 82 FPE and is usually more accurate than the 9 mm/.357 in most airguns I’ve read up on. 

I build alot of Bulldogs and can modify the trigger down as low as you want to go and make it very crisp. I like a trigger that suprises me when it goes off and the Bulldog is capable of that.
I have mine regulated and with an extended reservoir can get 12 or more shots at 200FPE when filled to 4500 psi. And with a Pitbull Mega moderator it's quieter than my 300 blackout. and powerful enough to take down large hogs. I've taken just about every animal that i can legally take in Texas other than a big Exotic.
So to make it short i would highly recommend the Bulldog. It's cheap to get into and can be built into a 300FPE gun on air or 500+ FPE on Helium

Hunting coyotes with an airgun that you want to hand pump and no scope? Sounds like an exercise in futility - you must really be looking for a challenge!

thT gamo whinchester.has a hammer gotge barrel.pretty nice gun.the bull dog is nice to.but if its a 30 a tund bwalton hTsan would be the ticket.u can get it reggd.alex

First I have to admit I don't have experience hunting coyotes with an air rifle. I have however taken many 100s of coyotes, fox, and bobcat (hunting for the fur market). I have also hunted with .22 airguns for small game for many years. With that introduction, I would definitely recommend a big bore air rifle capable of complete pass through at your maximum range. Unless you make a headshot, plan on tracking. I suspect you will want a good blood trail. Bigger holes make better blood trails. Coyotes shot with a 40g .22 mag PSP (324fpe) through the chest usually run 75-150yards. Some are never found. Fox shot in the chest with a .22LR (146fpe) usually run off and can be very tough to track (lots of time lost when calling). Point of this response is to say if you are serious about hunting coyotes with air rifles, go with the big bores. I would probably feel confident with a .357 or larger. I'll probably start there or even .45 when I finally find what I'm looking for (suppressed carbine with more than a few shots per fill). Hope these comments are helpful.

Seneca Recluse in 9mm will make you a nice coyote gun. It is for the most part ambi except for the safety which is in the front of the trigger guard. I'm a lefty too, and have delt with issues the same as you. The safety will be a pain but workable as I am sure you know.
The Recluse also has an excellent set of iron sights. Power is sufficient and can be increased if tuned. Will Piatt is the man for that. He is a wizard with these guns and his prices are very reasonable. He can turn the Recluse into a beast. 
Stock is walnut and ambi. Hand pumping is doable but with the 300.00 dollar compressors on eBay why bother.
Hope this helps,
Joe