In reply to alfmeister:
I suffered a full rupture of the long head bicep tendon (so, the other end of the muscle) in April of last year.
My doc was great in laying out the options, pros and cons of each and the like. I went for the surgery and am absolutely glad that I did.
The doc had done corrections on the long head bicep (obvs different to yours) as late as a year after initial rupture but with diminishing levels of success. My surgery was scheduled for right around four weeks after the initial injury. I had a few weeks of being extraordinarily careful to not overdo anything; then a couple of months of recovery.
I actually went six full months without climbing (injury; then one month to surgery; then five months to heal) which I know is longer than many folks would be able to wait. Now, six months later, I'm back to climbing stronger than I was before the injury.
I know the two ends of the bicep are very different but if you want to ask more about my experience please feel free to drop me a message.