Remember if you decide to cut it, then cut it in one bunch to be able to donate it mto Locks of Love or some title like that. They get the hair to specialists who make long hair into wigs for those that cannot afford a wig and have lost their hair due to cancer.

Why not try an interview with your hair in a man bun on the lower back of your head? Maybe it won't impact them so much, if it does at all. Have you considered using a headhunter. They are pretty cool and will tell you if your hair may be an influencing factor or not. Let them see your resume first before asking. Good luck with whatever you decide.