How safe is a bone scan?

I’ve been given the option of getting a bone scan to confirm tibial stress fractures, but I’ve read a bone scan emits 1000x more radiation than a X-ray; it also costs around $600. I’ve been having shin pain issues for about 5 months now, have waited the requisite 12 weeks without any running or impact, and they have returned after about 3 weeks of running (24 miles/week). The reason I’m asking Fluther is because the doctor has said “it’s basically [my] call” as to whether I want to proceed with a bone scan, or just “sort of monitor [my] symptoms and adjust accordingly.” This is frustrating to hear because I have no idea how to proceed, whether I will ever be able to solve this issue, and what exactly is causing this. Am I overreacting to the amount of radiation I’d be getting from this, and should just get the diagnosis?