Do I check or bet this river?!?! Please help.

[checkit888]

30/60 party

Everyone folds to me. I'm on the button with [ Kd 9c ]
I raise, sb and bb call

** Dealing Flop ** [ Th, Jd, Qs ]
I bet, SB raises, BB call, I call

** Dealing Turn ** [ 2h ]
SB bets, BB call, I raise, SB 3bet, BB calls, I cap

** Dealing River ** [ Qh ]
SB checks, BB checks,

I what? Check or bet? I'm thinking SB has at minimum 2 pairs, a set, or smaller straight. Not sure what the heck BB is doing calling the turn. With a paired board and flush draw on the river, can I just check the river?

Thanks

[Der_Ulek]

I really dont like your flop checkbehind. You miss value here and a K on the turn would be horrible.
The river is a bet i think. SB checks, and he almost certainly isnt going to checkraise with a strong hand, because that would knock BB out. So i guess you have to bet here to get value from maybe AA,KK, AQ..., because even better hands will only call you.
If its HU and the checkraise becomes much more likely, i would consider the check.

[Heir_Aparent]

easy bet. SB prob always has 89/k9, BB looks like he played QK really [censored] or something to that effect. just bet call you miss too much value checking behind especially because your almost always beating SB.

plz jam it up as much as possible on flop. your missing value otherwise

[Heir_Aparent]

also - BB probably never plays top two that slow, ever. q10 is also unlikely.

[gehrig]

i just bet

ppl donk flushes and boats a meaningful % of the time so ur doing fine vs their ranges when they check to u