KK checking turn and river

[stardustakos]

2nd hand so no stats, reads and I don't have notes.

Both of them are calling to Cbet and the A turns so I choose to check and reevaluate the situation once I 've seen the bet amount. Nobody bets the turn and the river is a blank.
I choose not to value bet here and mabe it is a mistake. What do you think?

Also, is there a different way to play turn?

Party Poker No-Limit Hold'em, 22 Tournament, 20/40 Blinds (9 handed) - Party-Poker Converter Tool from FlopTurnRiver.com

SB (t4140)
Button (t1940)
CO (t1940)
MP3 (t2040)
MP1 (t1940)
Hero (UTG) (t2000)
UTG+1 (t2220)
MP2 (t1980)
BB (t1800)

Hero's M: 33.33

Preflop: Hero is UTG with K, K
Hero bets t122, 5 folds, Button calls t122, 1 fold, BB calls t82

Flop: (t386) 9, 4, 8 (3 players)
BB checks, Hero bets t295, Button calls t295, BB calls t295

Turn: (t1271) A (3 players)
BB checks, Hero checks, Button checks

River: (t1271) 2 (3 players)
BB checks, Hero checks, Button checks

Total pot: t1271

[taipan168]

I think the turn check is fine. After the turn checks around you can bet 1/2 pot as a value bet.

What's with the weird ass bet sizes?

[stardustakos]

using the keybord rather than the buttons, helps me with my concentration when I am 2 or 3 tabling