Overcards as preflop raiser

[dantheman_05]

typical situation on 6 player game :
2 limpers (both have vpip above 30 and pfr above 10)
i raise on button with say K [img]/images/graemlins/spade.gif[/img]J [img]/images/graemlins/spade.gif[/img] and blinds fold. limpers call and flop comes :
#1) T [img]/images/graemlins/diamond.gif[/img]7 [img]/images/graemlins/club.gif[/img]2 [img]/images/graemlins/heart.gif[/img]
#2) Q [img]/images/graemlins/spade.gif[/img]6 [img]/images/graemlins/spade.gif[/img]2 [img]/images/graemlins/heart.gif[/img]
#3) A [img]/images/graemlins/club.gif[/img]7 [img]/images/graemlins/heart.gif[/img]7 [img]/images/graemlins/diamond.gif[/img]

After each flop the first limper bets out and 2nd limper folds. (8.5 small bets)

What is the best plan for the rest of each hand through the river, and would you agree that if the 1st limper was strong he would check raise the flop?