Ammended toothpick method:
Mix up some JB Weld or marine epoxy....a small amt is sufficient. Liberally coat the tapered end of a round toothpick (if a toothpick wasn't tapered, it would be a dowel...d'oh!). Insert in the screw hole and snip off the excess. Carefully wipe away any overflow with some mild solvent and rag. Allow to cure. Drill a small pilot hole with your Dremel (you do own a Dremel, don't you?) and properly-sized micro bit. Re-insert / thread screw.
This works 'cuz (a) the drill bit will follow the softer sacrificial toothpick and (b) cured JB Weld can be tapped, painted, whatever forming a permanent repair. I guarantee that bad boy will never strip out again. I've used the same method for strap pins, control cavity covers, even stripped screw holes in graphite epoxy necks.
Riis