blinds 25-50 effective stack 5000$

btn w00ki3z opens 131
bb otb calls 131

flop 6d jc 2h

(pot 261)
bb check
btn bet 130.75
bb raise 428.86

turn 6c

(pot 1119.72)

bb check
btn check

river ks

(pot 1119.72)

bb bet 1219.94
btn call 1219.94

ok this is my breakdown of hand, the turn helps the buttons range alot more then bb, for obv reasons that the button can have more 6x .... so i feel bb is correct to check this turn as his flop set combos are now even more unlikley, im guessing once the button checks the turn he doesnt have too many 6s but i might be wrong on this? once the river comes a king and the bb bets over pot all hes repping is 22/66 (maybe 26s j6s) so whats he hoping to get cates to fold out, should cates ever fold jx here, otb in bb is repping so thin on the river right, is this not a bad spot to bluff, i guess he has to do it occasionally to balance his full houses but surley very very ocasionally?

if someone would be up for doing a range breakdown that would be cool...