Just use industrial glue to append something as if it's a handle (round piece of plastic is what I usually go with), so you can unscrew it with your fingers, just you will have to replace the screw (not really hard considering most electronics stores that sell components also have screws for dirt cheap). Why would you think a DRILL of all things is gonna do any good? Drills should only be used on massive projects, not just random screws as they put too much force into the sockets so it will only make the problem worse. Drills are for assembly since repeated use ruins the sockets, while screwdrivers are for repairs. Also, try to avoid cheap screwdrivers or wrong size ones, my advice is to just get one that lets you change the tip, usually cheap and that way you will always have the correct size and type while also being able to unscrew slightly stripped ones as well.
