I would hate to give you advice on how to do it yourself and have you mess up your bow and void your warranty. The best advice I can give you is go to a good auto or tool store and buy a good set of allen wrenches that fit snug when you put them in an allenhead screw and you won't strip out anymore.
Can someone from Support please tell me what size/thread that particular allen head screw is ... I don't want to send this back just to have one screw replaced... That just seems kinda excessive!
I can't provide you with specific advice, but...
I had a similar problem with a grub screw on my daughter's pressure button (recurve archer). Her pressure button is from Europe and has metric-sized components. I was able to get an imperial size allen key in the head and loosen it that way. It took very little force to get the key in, and so worn was the head that the imperial key felt like a pretty good fit! This might work for you, but you're in the US, where metric allen keys could be at a premium.
Have you applied a "loosening" agent, like a very light oil - in Australia we have a product called "Penetrene".
The only other things I can suggest get increasingly messy, and I'm loathe to offer them.
The first thing I do when I get a new piece of archery equipment is visit my local engineering store, and get replacement bits-that-might-fall-out-or-get-damaged.