I reraise here a lot of the time. I didn't this time. Should I have just called his check raise? Is he ever folding to a shove there?

PokerStars No-Limit Hold'em, $4 BB (6 handed) from (Format: Bet The Pot)

SB ($161.20)
BB ($425.40)
UTG ($548.55)
MP ($783.25)
Hero ($396)
Button ($811.25)

Preflop: Hero is CO with , .
1 fold, MP raises to $16, Hero calls $16, Button calls $16, 1 fold, BB calls $12.

Flop: ($66) , , (4 players)
BB checks, MP checks, Hero bets $45, Button folds, BB raises to $124, MP folds, Hero raises to $380

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I might check the flop thru, but if I bet it, Im shoving over top of his check raise every time.

I think you have good equity vs his range. He probably has something like an overpair with a .

Hero has . Outdraw the sucker