Combo hand - help on flop

Edit: wrong initial title to HH - wanted suggestions on maximizing my flop line, not turn. Redzilla and IOPQ already commented below before change.

Villain was 65/17 over 60 hands, willing to play frisky with 2nd pair though generally "honest" with his betting, aggression factors of 2.0 and 1.2 on flop and turn respectively.

$0.05/$0.1 No Limit Holdem
5 players
Converted at weaktight.com

Stacks:
UTG ($1.60)
Hero ($10.29)
BTN ($14.64)
SB ($6.86)
BB ($12.15)

Pre-flop: ($0.15, 5 players) Hero is CO
1 fold, Hero raises to $0.35, BTN raises to $0.95, 2 folds, Hero calls $0.60

Flop: ($2.05, 2 players)
Hero checks, BTN bets $0.55, Hero raises to $3.70, BTN calls $3.15

Turn: ($9.45, 2 players)
Hero ($5.64)?

What do you think his range is?
I mean on the turn I ship this in, but can you explain what range he has and what your EV is against his range on the flop and the turn?

All-In.

Unrelated: You seem to have a problem of out thinking yourself.

shove, nh

given your raise on flop i think the correct play is to shove the turn.