AKo CO v BTN c-bet opportunity

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AKo CO v BTN c-bet opportunity

Blinds: $0.05/$0.10 (6 Players) UTG: $12.08
MP: $10.77
CO: $20.55 (Hero)
BN: $9.14
SB: $5.04
BB: $13.39
BTN is 19/5 over 21 hands, 3B=0 so far.
Preflop ($0.15) Hero is CO with A K
2 folds, Hero raises to $0.25, BN calls $0.25, 2 folds
This is actually a spot which deserves the description "standard" :)
Flop ($0.65) 8 9 T
Hero bets $0.40, BN calls $0.40
I am not sure whether I should c-bet, x/c or x/f on this board.
He will have some draws that I can apply pressure to by c-betting, same goes for Ax hands that he doesn't 3-bet and small pocket pairs. If I assume that he will call PF with a range like this

JJ (0.5x), TT-22, AJs (0.5x), ATs-A9s, AJo-ATo, KQs (0.5x), KJs-KTs, KJo+, QTs+, QJo, JTs, T9s (0.5x), 98s (0.5x), 87s (0.5x)

(Do you think that's too tight or to loose ? By that I mean not his actual play but my assumption.)

I assumed that he will call the flop with TP+, GS+overcards (probably w/ BDSD), then I will only get 39% folds here (and that's mostly PPs 22-66). He may float w/ some Ax against we are doing fine but that's not too big a part of his range.

As for turn cards that are okay for me, I'd say that's all clubs, K, A, Q, J (Q,J although they also hit villains range) on which I can continue.

On the other hand check calling doesn't seem to appealing simply because this is a very dynamic board texture and if I check call here with AKo I'll be in an awkward situation on the turn because I wouldn't really want to call multiple barrels.
Turn ($1.45) 8 9 T 7
Hero checks, BN checks
The 7c isn't really a great card so I checked. Is that okay ?
River ($1.45) 8 9 T 7 8
Hero checks, BN bets $0.90, Hero folds
Pretty clear fold, no ?
Final Pot BN wins $1.38
Rake is $0.07

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