10 mg oxy's are pretty strong to be looking for relief in a non opiate, but you might try toredol, naproxin, or ultram, which is technically an opiate but you wont think so when you take it.
Most of these are best for inflammation type pain and I'm not sure if thats what you are looking for, and I think even if these were effective, you would not be very comfortable with an abrupt switch.
Can you taper off the oxy onto something else? are your pain relief needs less, or is there another reason you need to switch?
Your Friend, Fabby