400nl - TPTK in 3-bet pot, deep, river play

[toohigh]

6-handed, 275 BBs eff.

Villain is bad, running around 80/5/2 or so.

PFR is unknown, running at 31/10/1.5 FWIW.

Hero has brief history with villain, where villain snapped off two bluffs early in the session, hero later went runner runner 2pr to beat villain's flopped 2pr. Hero should be viewed as slightly LAG and very aggro.

On to the hand:

Hero's dealt Ad Kc

UTG raises $12, folds to villain in SB who calls, Hero raises in BB to $60, UTG folds, SB calls

Flop ($132): Ks 5s 3h

SB checks, Hero bets $120, SB calls quickly

Turn ($372): 4c

SB checks, Hero bets $275, SB calls quickly

River ($922): Qs

SB thinks for ~3 seconds and checks, Hero has ~$700 left

Is betting here too thin? If hero does bet, is a shove best or like 1/2-2/3 pot better? Would anyone ever b/f this river, and if so, what amount are you betting? Or should hero just be happy to show this down given the flush got there?