Are there alternative therapies that can help me if I have a high tolerance for pain meds but a low tolerance for pain?

Alternative? Maybe not alternative, but I think it is standard practice to use conventional behavioral therapy and sometimes hypnosis for trying to raise your pain threshold.
Yes. There are several alternative therapies for pain management ranging from acupuncture, physical therapy, chiropractic medicine, relaxation therapy, meditation, exercise, and cognitive behavioral therapy. Best place to start would be a consult with a pain management center.