I am surprised surgery is still an option as the window for surgery with a triceps tendon tear is normally 2 to 3 weeks.
Is your tear not a full tear?
I tore my distal triceps tendon. I didn't need anything other than an x-ray because it was clear on the x-ray (combined with my examination) what happened. You could see on the x-ray where even part of the bone where the tendon attached to my elbow had chipped off. I had no strength. It didn't hurt very much anymore (intense pain for 2 min when it first happened) but if the bottom part of my arm was folded up and the doc put pressure against it, I could provide no resistance (in other words, he had minimal pressure and I couldn't straighten my arm out).
I had surgery within two weeks of the injury. They used a metal mesh to reattach the tendon to my elbow after drilling a hole in the bone. All healed up now and doc says pretty much impossible for that tendon to rupture at the same spot again.
It did take me a good year to get close to where my strength was before. About 2 months after surgery I had worked my way back up to being able to lift just the bar on bench.