Thanks guys. I just ordered a nice set of "Grabits" online and also a set by Irwin that got good reviews. Judging by the reviews on Amazon, alot of the extractors out there are crap and tend to either not work or make things worse. These 2 sets I picked up got decent reviews though and both contain bits that I think should be small enough for that tiny set screw.
If that doesn't work, I was thinking of using a sacrificial allen wrench and putting a dab of 5-Minute Epoxy or JB Weld on the end, sticking it in there carefully and leaving it set hoping to be able to twist the whole thing out.
Last idea I had was to take an allen wrench just one size too large, grind down the hex-sides so that its tapered, and gently tap it into the stripped screw hoping to gain purchase.
I'd have to be really careful with any of the above but, so far, those are the only ideas I've had. While I'm waiting for the extractors to arrive, I'm trying to spend a few days just asking around and asking advice before I dive into one of these and make it worse.
Shooting an e-mail to Seekins is a really good idea too. I'm sure that this isn't the first time something like this has happened.