I don't have any knowledge of the surgery, but I did a fair amount of deep water running in the past year, and it does not sound like a good idea to me, unless you are already adept at beltless DWR. The belt will chafe intact skin, and it has to be fastened very tight to keep it from riding up over your ribcage. As for beltless DWR, I never mastered that, and I definitely would not want to try to learn when my abdominal muscles were healing. That is pretty much all core strength, trying to keep from sinking or being flipped upside down by the footies.

Good luck with your recovery.