If comfortable using modifier keys, you should have plenty to work with even if leaving Q and E as is. Heck, you can even change out Caps lock to a Function or Alt key, etc., so it feels like you have a second shift.

Otherwise, if you don't use modifier keys much at all, you can get used to using Lock-on, with or without Legacy settings, or bind Shift-A and Shift-D to regular turning functions for when lazy and out of combat.