The matter manip. extends to Hulk's brain, since I'm guessing carver might try to say Hulk reforms his body from puppies and music. It would probably be somewhat harder if the grey matter in his skull doing the reforming is suddenly turned into men's cologne (also a canon feat, not just something random).
If it were me, I'd pull an evil Doctor trick and retroactively change Hulk's past. Without BFRing himself, he managed to give Angie different childhood memories by placing himself in them. I'd insert myself into Banner's childhood so that he was the happiest child ever, and didn't have the stores of rage necessary to fight. That would be the cruelest way to beat Hulk, though hardly the most efficient.
Point is, carv, Doctor has too many options, and it's doubtful any level of gamma energy or punching would even harm the Doctor, even WBH levels. When he's not high or distracted, as he wouldn't be in this fight, it would take a lot more to harm him.
Ironically, if the fight is on Earth, Hulk's best bet would be to destroy the planet and ignore the Doctor. Doctor has a link with the Earth and would undoubtedly be KO'd by the mental trauma. A gimmicky win - it wouldn't work with any other battlefield setting - but viable. Problem is, Doctor would win the fight anyway well before that.