If you can refill at night so you only have to worry about 1 day's air the above suggests 3 tanks for 3,000 shots per day.
Not sure you have time to wait for gun refills to shoot 3,000 rounds per day. But maybe if you have multiple guns and somebody in charge of refilling them. For my guns that are smaller than it sounds like you will be using my GX CS2 fills them in about 3 minutes. Big guns could take 5 minutes. On a 8 amp hour battery I can conservatively get 6 refills. So maybe 4 on a gun storing more air. 50 shots per fill (rough guess) means about 60 refills to get 3000 shots. So maybe 15 8 amp hour batteries. If you have a vehicle with an alternator you could use that to run the smaller GX compressors to reduce or eliminate the need for batteries. Or a small generator would work. I also have two big 120V 15A Milwaukee batteries. They weigh about 50 lbs so they are portable but I wouldn't want to carry them through the woods. They would power a compressor using about 1800 watts. I have run my Yong Heng with all it's peripherals on one. When I loose power I run a critical loads circuit in my house which includes my refrigerator with one of these batteries for 6-8 hours. The GX compressors seem more efficient in their power usage. My guess is you could run a GX 2, 3, or 4 for a day on one of these batteries. But that is just a guess.
I guess 3000 rounds of pb ammo is not weightless either but any way you do it, hauling air to run an airgun at this level will mean hauling some weight. Hand pumps are light and easily portable but a lot of work.