50NL, KK on ace board

[pokerfan]

villian is unknown(25/15/4.5 with 6% 3 bet over just 50 hands). I c/c on turn & river thinking that he might be bluffing with missed draws in this situation given his seemingly aggressive style. Is this an optimal play regardless of the result? How do you guys plan this hand from flop on? I intentionally cbet smaller than normal cuz its a WA/WB spot(balance means nothing at 50NL imo)
No-Limit Hold'em, $0.50 BB (9 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

Hero (UTG+1) ($50)
MP1 ($55.10)
MP2 ($56.95)
MP3 ($53.35)
CO ($52.80)
Button ($39.75)
SB ($40.50)
BB ($55.10)
UTG ($51.65)

Preflop: Hero is UTG+1 with K, K
1 fold, Hero bets $2, 4 folds, Button calls $2, 2 folds

Flop: ($4.75) 8, A, 7 (2 players)
Hero bets $2.50, Button calls $2.50

Turn: ($9.75) 7 (2 players)
Hero checks, Button bets $5, Hero calls $5

River: ($19.75) A (2 players)
Hero checks, Button bets $10, Hero calls $10

Total pot: $39.75

[daven]

flop and cbet or c-call are both fine.
if i check turn it isn't with a plan of c-calling two streets.

[pokerfan]

flop and cbet or c-call are both fine.
if i check turn it isn't with a plan of c-calling two streets.

you mean you either DB or c/f on the turn? His betting range when checked to is probably wider than his calling range. c/f seems better than other options but sounds too weaksauce.

[Deanglow]

huge spew

[daven]

c/f on the turn?

sure thing

His betting range when checked to is probably wider than his calling range.

really?

[mfbkevin35]

he had the A..