I'm considering limiting the STR modifier to damage rolls only. Here's why: (1) I don't see why being stronger would make you more accurate. Someone who can bench 400 lbs. isn't necessarily better at landing a punch than a weaker guy. However, the guy who can bench 400, if his punch connects, will do a helluva lot more damage than the weaker guy. (2) It would make for more symmetry with the DEX modifier, which only modifies attack rolls. So we would have: STR=melee damage, DEX=ranged attack.
Thoughts?