Hero is HJ with K

J

and has been running hotter than a thousand suns for the last half hour. V1 is UTG, passive, very loose but capable of making hero folds. V2 is UTG+2, somewhat loose, passive, and also capable of making hero folds.
V1 limps, V2 limps, folds to Hero who raises, folds to BB who calls, V1 and V2 call
Flop (4 players, 8 SB): J

9

7
BB checks, V1 checks, V2 checks, Hero bets, BB folds, V1 and V2 call
Turn (3 players, 5 BB): 3
Both check, Hero bets, both call
River (3 players, 8 BB): K
Both check, Hero ... ?
When I say hero folds, I mean either of these guys are capable of laying down a straight or even a tiny diamond here.