It's called IORT, intraoperative radiation therapy, and they do it on BOT, but usually the tumor is dissected first, then possibly a flap for prtoection, more radiation, IORT during surgery, and then more EBRT, possibly with chemo at a later date or similar variations, depending on prior treatments. There is also Brachtherapy. Just offering suggestions in case MSKCC does not come up with an optimal plan, which probably won't be the case, and they do these treatmnts there too, if applicable.

Good luck with everything.