Stripped 4/9 6.3 mm black Phillips screws on the lower case of the 3DS

Just to clarify, I've visited more than 25+ different webpages trying to figure out what to do. I'm usually really bad at this stuff so my last resort at this time is ask for professional help. So basically, my main(easy) task was to replace the lower touchscreen. Using iFixit's tutorial: Nintendo 3DS Touchscreen Replacement

But if you quickly look at Step 4, it shows the 6.3 mm black philip screws that I've stripped. Using rubbing bands is pretty ineffective because the hole is fairly deep and the tiny #00 Philip screwdriver just pierces them. I've thought about using super glue but I do not want to cause further damage.

As I mentioned in the short description, I've managed to take 5 out but 4 are pretty much stuck there.

Much appreciate any help that any one can give me.

Thanks again

Vino