A few good tricks for removing 'stripped' bolts/screws:
If you're able to use an allen wrench still.. go for it.. But if not, and left-hand-driver aka screw-extractor will work.
Heat: Heating the screw will do two things - expand/contract it and/or help break the grip of any LocTite - if applied.
So that's sort of a 2-in-1. Then after heat has been applied, try reversing again..
You can direct the heat only to the screw by using a high temp soldering iron, so no need for flame..
If the screw sticks out from the surface, you can also use a small / thin cut-off-disk on a rotary tool,
and grind out a 'slit' in the head of the screw. Deeper = better. Then use a flat-head driver on it.
If you cut a "+" groove, you can use a phillips driver on it.
One last trick is cooling/freezing added to the mix..
Heat will Expand. Cold will Contract.
Cold can be made by using aerosol keyboard spray, and flipping the bottle up side down..
You'll displace the liquid inside, and it will shoot out extremely cold liquid. Don't get that on your skin!
Heat the surrounding area of metal to 'expand it', then use the 'freeze' on the screw only..
You can direct that via the little straw that goes into the nozzle/tip on the can.
That will expand the area around the screw, and contract the screw..
While it only does this by a very small amount obviously, sometimes that's more than enough.
Good luck!
Sam -