Help w/ range

villain is 31/28/6 over a sample of 110. We're both deep

bet turn for potential incoming monster. Did he pick up 2 pair on the turn? can he really check 2 streets with a made flush? what is his range to go agro mode on river, i'm having trouble w/ that. It's such a retarded bet with anything but AcXc

My turn bet is bad if he has a flush because he will raise for sure. Decent if he has 2 pair cuz he can't really raise and it builds pot if I make trips/bigger 2 pair or flush. Bet is good if he has 1 pair, small enough that he could call with a tens, JJ QQ. Since he checks 2x i think his range is weighted away from made flushes, so bet is good. Input?

Full Tilt No-Limit Hold'em, $0.05 BB (5 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

Button ($6.06)
SB ($4.28)
BB ($12.38)
Hero (UTG) ($9.04)
MP ($6.19)

Preflop: Hero is UTG with K, J
Hero bets $0.20, MP calls $0.20, 2 folds, BB calls $0.15

Flop: ($0.62) 10, 2, 7 (3 players)
BB checks, Hero bets $0.50, 1 fold, BB calls $0.50

Turn: ($1.62) K (2 players)
BB checks, Hero bets $0.90, BB raises to $2.10, Hero calls $1.20

River: ($5.82) 3 (2 players)
BB bets $5.82, Hero folds

Total pot: $5.82 | Rake: $0.38