Just in general terms, sometimes a drop of loctite or the equivalent can help if you don't mind chiseling it off the screwdriver after.
There's also the JB-Weld/JB-Kwik technique for dealing with severely stripped bolts when you don't have a Gator-Grip... The 5-minute Kwik stuff might be enough to fix up a stripped phillips slot if you're not keen on making metal shavings everywhere with a dremel. [Apply with a toothpick, remold the slot with a screwdriver dipped in vaseline, or form a 'tool' to match the screw by molding it into a small hex socket wiped with vaseline.]
