I'm a bit over a year out of treatment. I wasn't given an option, but here is my experience. I went thru 35 radiation and 3 chemo (planned 5, but settled on the 3 - my Dr said she was done beating me up). THen, a 3 mo scan was clear so no surgery after.
The way I see it, you will need to go thru radiation and chemo anyway, why do the surgery first? I suppose it could be a lower dosage after the surgery? My ENT told me it took a while to recover from the surgery delaying the radiation treatment. And, the chance of spreading was greater then. Plus, the masses would have required more to be taken out, plus what the radiation kills. The way it was explained to me radiation IS surgery. It kills the cells inside the tumor a bit at a time on each treatment. It targets only the masses and leaves the rest other than the lower dose that goes thru whatever it needs to to get to the mass that does the other damage.
Just thinking out loud. but, perhaps this will give you some questions to ask the drs at least. Wish you the best and praying for you guys.