Top Two HU against weak player

[Burdzthewurd]

PLO50

I'm sitting on $90, Villain has about $45, just us, one-on-one

He's only potraised with AAxx or KKxx (but just called if I raised on the button with naked AAxx), or something like 4 runners or a medium pair with suited connectors. He has only raised in the BB, and limps in the SB everytime. He does not make stone-cold bluffs (he checked down his weak hands even on draw-heavy boards when on the button). He only bets after the flop with big pairs, usually slowplays made hands until the river.

Specific enough?

I limp on the button with Q [img]/images/graemlins/diamond.gif[/img]7 [img]/images/graemlins/diamond.gif[/img]8 [img]/images/graemlins/diamond.gif[/img]5 [img]/images/graemlins/club.gif[/img]

Villain raises pot to $1.50, I call

Flop Q [img]/images/graemlins/heart.gif[/img]7 [img]/images/graemlins/heart.gif[/img]8 [img]/images/graemlins/club.gif[/img]

Villain leads for pot at $3. Looks like an overpair to me.

Flop is very draw-heavy, what's my best money-making line here? Best safe line?