MP is a 16/13/14.0 in 165 hands. Raise 1st from CO 13%. 80% flop cb (10)

BB is a 44/25/1.0, recreational player playing really bad and giving money away.

So I call because the bad player will call often enough to be profitable. When the reg checks flop I can't see him having a value hand. It doesn't happen often for a reg to be checking behind a big/good value hand 3 way with a bad player in the pot. So I bet the turn for value.

When he raises, I just think about 33 or A3 that he didn't want to bet the flop with. Should I call this turn for note taking purposes if then he checks the river behind or should I fold because I'm almost always folding the river when he bets? He looks nit but then, there's so few value combos that play like this if he is never checking behind the flop with value hands...