No-Limit Hold'em, $1.00 BB (5 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

MP ($119.15)
Button ($103.50)
SB ($130.42)
BB ($100)
Hero (UTG) ($106.70)

Preflop: Hero is UTG with 10, A
Hero raises $3.50, MP calls $3.50, 3 folds

Flop: ($8.50) 9, A, K (2 players)
Hero checks ???

villain was 21/17/2 (was a reg).
Is this a standard C-bet? Lately, I've been trying to be more selective on my c-bets and, now, I have a difficulty playing these TPMK hands ...
Need a plan.
1. FLOP Options:
a) C-bet/fold
b) c/c
c) c/f

2. TURN Options (if we c/c FLOP)
a) If villain checks FLOP:
a1) c/c
a2) b/f
b) If villain bet FLOP I believe that the only option is c/f

On FLOP what do you do? I would prefer 1.b)
On TURN what do you do? I would prefer 2.a1)
Comments?