Flop play OOP vs a pf capper

4 handed. Button is a lagish player with an 11.86% raised pf, but will cap every time he gets 3 bet and bet every street.

Preflop
utg folds, button raises, i 3 bet A [img]/images/graemlins/spade.gif[/img] J [img]/images/graemlins/spade.gif[/img] in the sb, button caps.

Flop 5 [img]/images/graemlins/diamond.gif[/img] 5 [img]/images/graemlins/heart.gif[/img] 5 [img]/images/graemlins/club.gif[/img]

I check, button bets, i call

Turn T [img]/images/graemlins/heart.gif[/img]

i check, button bets, i call

River 8 [img]/images/graemlins/heart.gif[/img]

I check, button bets, i call

ive run into a lot of players that will automatically cap when 3 bet, and ive had a lot of trouble playing AK AQ AJs etc after 3 betting and getting capped and missing the flop.
Any ideas?