sounds like she kinda deserves it, LOL...........If you opt for clippers and hit the blood line, use some flour or blood stop powder if you have it. Otherwise, the other birds may go after her!
I would have never thought to make the beak tender so she stops pecking, but won't that make it hard for her to eat?
one question OP, what color is your heat light? if it's white, that could be part of the problem, change it to a red one