NL10z BB stab vs BU checkback, double barrel?

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NL10z BB stab vs BU checkback, double barrel?

Blinds: $0.05/$0.10 (6 Players) BN: $10.49
SB: $15.06
BB: $13.73 (Hero)
UTG: $16.68
MP: $12.59
CO: $28.36
Preflop ($0.15) Hero is BB with K 8
3 folds, BN raises to $0.20, SB folds, Hero calls $0.10
Flop ($0.45) A 2 T
Hero checks, BN checks
Turn ($0.45) A 2 T 3
Hero bets $0.30, BN calls $0.30
River ($1.05) A 2 T 3 9
Hero checks, BN checks

No stats on villain

Im wondering if I should pull through with bluffs such as these. Thing is that villains range with this line will have a lot of SDV hands (JJ-KK, Tx, weaker Ax) and FDs (more so spade draws than clubs), as he would have stabbed air/draws OTF more than not imo. Plus our draw actually will beat majority of his spade draws on showdown, so maybe bluffing doesnt make too much sense.

I believe we would need to size up considerably, but given my assumptions we lack some fold equity for it to be profitable.. its marginal at best from my analysis. What do you think?

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