Alcohol is also what I've come across. Far better she release on her own with that, than be physically pried off.
Odd that she is not apparently cage aggressive, but bites later.
I would try not using soap. Maybe something about the scent in the unscented soap is confusing her? I've heard of some people using soap to get the smell of urine off F/T mice. Maybe she has had washed mice in the past, and associates the soap smell with food?
Good luck.
I hope her behavior improves.