Boring 75/150 value bet or check behind

[HOWMANY]

Great 7 handed live game. I'm on the right of the tight players and on the left of the loosey goofballs, a recipe for a great night of being in tons of pots with people that never miss their 1-6 outters. Anyway, villain in this hand seems to come here 1 night a week just to play this game, I'm taking a shot in this game, so I've never played with him before, but up to this point I'm stereotyping him as tight/relatively unimaginative. This is in the first hour or so of the game, so I don't think I'm getting obliterated yet, I might even be winning, but I don't think there's anything image related that needs to be taken into consideration. Now the hand:

I open K[img]/images/graemlins/spade.gif[/img]Q[img]/images/graemlins/spade.gif[/img] in CO, villain 3bets from the small blind, I cap because I have position and because I think it makes it extremely likely I will win without a showdown against his middle pairs.

Flop: A[img]/images/graemlins/club.gif[/img]K[img]/images/graemlins/club.gif[/img]4[img]/images/graemlins/diamond.gif[/img]

He check/calls

Turn: 4[img]/images/graemlins/spade.gif[/img]

He check/calls

River: 9[img]/images/graemlins/diamond.gif[/img]

He checks, I?

If you check, would you bet if the turn hadn't paired the 4, so that our kicker would play? Anyone not like pf cap due to the description of the player, or does my read on him make the cap better? Flop is obviously not worth discussing, nor is the turn really.