Are you that handsome that you can't not look at yourself in the mirror? You can't give yourself a target to look at or just tell yourself "don't look at the GD mirror Brody!"?
Sounds like you need to change gyms regardless of mirror issues.
Find a black iron gym or powerlifting focused gym with good bars and a focus on the main lifts. You'll probably encounter a new set of issues, but at least you'll get done what you need to.