Why do I have constant trochanter bursitis? Also, any relief? Can't take non steroidal meds

Steroid injection. Steroid injections into the bursa can help with trochanteric bursistis. Physical therapy may also help. Recommend seeing your doctor to confirm diagnosis and discuss treatment options.
Muscle imbalance? See your doc; assuming truly trochanteric bursitis, likely benefit from physical therapy. Specific rx needs to handled by you and your md. Acetaminophen may help re: pain, doesn't affect inflammation though.