Maximizing our value with the nuts - sizing?

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Maximizing our value with the nuts - sizing?

Blinds: $0.10/$0.25 (9 Players) MP: $9.90
UTG+1: $35.01
MP+1: $14.75
MP+2: $25.00 (Hero)
CO: $25.21
BN: $49.63
SB: $29.84
BB: $31.54
UTG: $38.31
57/29 (7)
looks like a big fish:)
Preflop ($0.35) Hero is MP+2 with K K
2 folds, UTG+1 calls $0.25, MP+1 folds, Hero raises to $1.10, CO folds, BN calls $1.10, 2 folds, UTG+1 calls $0.85
Flop ($3.65) A 9 Q
UTG+1 checks, Hero checks, BN bets $3.49, UTG+1 folds, Hero calls $3.49
Turn ($10.63) A 9 Q T
Hero checks, BN checks
can we consider donking here exploitatively? 1/4-1/3 sizing if so? Maybe a little bit bigger given his flop sizing - his range is supposed to be polarized to TP+
River ($10.63) A 9 Q T 5
Hero bets
Given his line potbet flop, check turn - I see mainly hands without a spade in his range.. maybe some AxJs at best and lower flushes.
However, how would you choose the optimal bet sizing in order to maximize our value? I would expect that his calling range is gonna be inelastic (except of few XxXs combos)

I see it from a few different angles:

  1. We wanna look bluffy and bomb it - he might think that we wanna steal the pot from a split. 100%+
  2. Bet so tiny 20-33% that he might think that he is good often enough and the pot is already pretty big
  3. Bet somewhere in between 40-60% to still offer a decent prize for calling with the flush

Would you choose any of these 3 options and why?

Or did I miss something?

Cheers

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