Lost Wedding ring..

Hey everyone I went climbing here over this summer and i lost my wedding ring . Its a black wedding ring. I never took it off till i started climbing and i slipped off grip and my wedding ring was stuck, thought my finger was going to get skinned. I have always put it on a carabiner and haven't lost it until now. So if anyone sees this i am pretty frustrated and would give just about anything to have it back. I have torn my house apart and have found nothing and i am missing a carabiner(always buy everything in sets of 8 so i can be sure i keep track of my counts)
I am going out this week to look and if i can find a metal detector ill be looking there too.
Probably lost near Mt Elden in Northern Arizona.