Fairly deep stack $2-4, flopped nut str8 OOP, board pairs on turn

[98romaine]

Party full $2-4
Read on villain is aggressive but seems to know what he is doing. Button raise is somewhat standard for him after limpers. Relevant stacks:
Hero: $800
Villain: $660

Party Poker converter

Preflop: Hero is MP3 with T[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">6 folds</font>.
1 limper, Hero limps from MP, CO limps, Button raises to $15
EP calls, hero calls, CO folds.
Pot=$55


Flop: Q[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img], A[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
EP checks, hero checks, Buttons bets $ 35, EP folds, Hero calls.
pot=$125

Turn: K[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>

Hero checks, Villain bets $70

Pretty sure AA,KK, AK, not in his hand range b/c of preflop would have been more. QQ/KQ/JJ/1010/99/j10 are possibilities.

Thoughts on leading the turn? Check/call or C/R turn? why?

River is what based on above?

Thanks.