Flop Two Pair-Encounter resistance-how to proceed?

[pofigistka]

Party Poker - No Limit Hold'em Cash Game - $0.25/$0.50 Blinds - 5 Players - (LegoPoker Hand History Converter)

SB: $33.11
BB: $58.59
Hero (UTG): $50.00
CO: $27.53
BTN: $36.05

Preflop: Hero is dealt A[img]/images/graemlins/club.gif[/img] T[img]/images/graemlins/club.gif[/img] (5 Players)
<font color="red">Hero raises to $1.75</font>, 3 folds, BB calls $1.25
Villain is a 37/5 type ag fctr-)0.5 with this being heavily skewed towards river-5.50 I have no specific reads and have not seem him get out of line seems to obv. play to many hands but probs have some idea of hand strength.

Flop: ($3.75) A[img]/images/graemlins/spade.gif[/img] K[img]/images/graemlins/heart.gif[/img] T[img]/images/graemlins/heart.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $3.75</font>, <font color="red">BB raises to $12.00</font>

Pot Size: $19.50

[Warteen]

This is really a post for Micro Stakes, but I'll play along.

Call his checkraise on the flop, get the money in on a non-heart, non-broadway turn. I don't think we can put him on a hand that beats us except for JQ or *possibly* AK (just because he's not raising a lot preflop), so this line lets him get more money in bad against us with his losing range (any ace, KT, flush draws).