I've done this probably half a dozen times rebuilding carbs for people and myself, and I've never had a problem. Pick up a easy out set with a small easy out. I have the black and decker set (they don't make the best stuff but these seem to work). Drill a hole about 3/16" deep into the top center of the screw. Insert the easy out and whack it good with a hammer to seat it. Then let it do it's magic. Also, be sure to soak everything with penetrating oil.