NL20 river fullhouse - how to maximize value?

[iceTray]

So, the question is well-known:
enemy is a big big fish, playing 87/54, his agression on the 3 streets: 49/41/23

$0.10/$0.20 No Limit Holdem
OnGame
5 Players
Hand Conversion Powered by weaktight.com (http://weaktight.com/)

Stacks:
UTG hugabor22 ($16.01)
CO Buchys ($29.65)
BTN GabMi ($19.38)
SB af1407 ($13.94)
BB Hero ($20)

Pre-Flop: ($0.30, 5 players) Hero is BB :ad: :jc:
1 fold, Buchys calls $0.20, 1 fold, af1407 calls $0.10, Hero raises to $0.80, Buchys calls $0.60, af1407 calls $0.60

Flop: :5c: :8h: :jd: ($2.40, 3 players)
af1407 checks, Hero bets $1.80, Buchys calls $1.80, af1407 folds

Turn: :as: ($6, 2 players)
Hero bets $5, Buchys calls $5

River: :ac: ($16, 2 players)
Hero ($12.4)?

[castor11]

In my opinion bet ai.

[Lev729]

In my opinion bet ai.

I think, this is the only option because of stack sizes.

[iceTray]

Ok, then I was right. I bet all-in and he folded unfortunately.