Hey pilot,
If you want to loose the peep, and I don't blame you, try this. I don't know if you use a kisser button or not, but if not, put one on. After you have it in the right place, that along with a solid anchor point is all you need for hunting. Take the peep off. Now go shoot.
I think you'll be pleasantly surprised how well you shoot without one. Won't cost you anything to try.
Good luck!