Villain is very loose preflop, calls tons of raises, especially in the BB. He's running at 39/13 w/ TAF of 1.7. He's certainly capable of calling in the BB w/ any two suited cards, so I check the turn, but when he doesn't bet the river, I decide to value bet.

UTG ($10.87)
MP ($20.64)
CO ($27.45)
Hero ($37.70)
SB ($4.50)
BB ($36.89)

Preflop: Hero is Button with , .
2 folds, Hero raises to $0.85, 1 fold, BB calls $0.60.

Flop: ($1.80) , , (3 players)
BB checks, Hero bets $1.8, BB calls $1.80.

Turn: ($5.40) (3 players)
BB checks, Hero checks.

River: ($5.40) (3 players)
BB checks, Hero bets $3, BB calls $3.

I would bet the turn and shut down if called/raised.