NL600 HU Deepish...should I stack off here vs a terrible 2p2er

[Go_Blue88]

I have a feeling villian is a 2p2er...n he's awful. He's a regular.

Is this how you'd play it? C/r all-in? It seems like he's either worried about his kicker or he has a fullhouse. But I think he'd push the turn with a fullhouse somewhat often and the only possible fullhouses for him are 25 T5 and I guess 75 (however these are possible holdings considering he's willing to call pf rr with 38s, and a 111 dollar CB with bottom pair 3's).

Full Tilt Poker
$3/$6 No Limit Hold'em Ring Game
2 Players
LegoPoker Hand Converter

<font color="black">Stack Sizes</font>
Hero (SB): $1028.5
BB: $1977

<font color="black">Preflop:</font> 5[img]/images/graemlins/diamond.gif[/img] J[img]/images/graemlins/diamond.gif[/img] ($9, 2 players)
BB calls $3, Hero checks

<font color="black">Flop:</font> 2[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/spade.gif[/img] ($12, 2 players)
<font color="red">Hero bets $8</font>, <font color="red">BB raises to $30</font>, <font color="red">Hero raises to $90</font>, BB calls $60

<font color="black">Turn:</font> 2[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/spade.gif[/img] [T[img]/images/graemlins/diamond.gif[/img]] ($192, 2 players)
<font color="red">Hero bets $135</font>, BB calls $135

<font color="black">River:</font> 2[img]/images/graemlins/spade.gif[/img] 5[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/spade.gif[/img] T[img]/images/graemlins/diamond.gif[/img] [7[img]/images/graemlins/club.gif[/img]] ($462, 2 players)
Hero checks, <font color="red">BB bets $240</font>, Hero?

So he could easily be value-betting a worse 5 and he'd undoubtedly call a push over the top.

Thoughts?