$250 live MTT midway thru tournament

Hero MP (30BB) raises KsQs to 2.2BBs
Button (40BB) calls (solid regular)

FLOP = Kc Jd 4d
Hero bets 2BB
Button calls

TURN = 7d
HERO bets 5BB
Button calls

RIVER = 3h
Hero checks
Button moves in (covers me)

I admit I'm a bit rusty after stepping away from the game for 10 years. What would you do on the river? (Feel free to destroy me for the river check)

To me the hands that make sense here are AdXd or ATo with a single diamond. But not sure. Thanks in advance!