[2NL] CBet sizing

CO ($2.83)
Button ($1.68)
SB ($1.48)
Hero (BB) ($2.13)
UTG ($5)
UTG+1 ($1.31)
MP1 ($2.95)
MP2 ($4.69)
MP3 ($1)

Preflop: Hero is BB with A, K
1 fold, UTG+1 calls $0.02, 3 folds, CO calls $0.02, Button calls $0.02, SB calls $0.01, Hero bets $0.12, UTG+1 calls $0.10, CO calls $0.10, Button calls $0.10, 1 fold

Flop: ($0.50) 10, 3, 5 (4 players)


I have some thoughts on this hand and the way I believe it should be played, and I'd be grateful for some input (both on the hand and my thoughts).

Pre-Flop
Pre-flop is a bit of a train wreck, I hadn't anticipated so many limpers and in hindsight my raise should have been bigger, perhaps along the lines of 0.14 or 0.16.

Flop
The villains are a selection of 14/8, 16/10 kinds, with a huge calling station (77/1) in the mix - all over about 80 hands. Generally they're capable of raising decent hands PF, so I feel I can discount hands like AA-JJ, KQ+ from their ranges, leaving a selection of pocket pairs and marginal/useless hands.

Consequently, I believe my AK has them beaten. So a cbet seems logical. Normally I would cbet 2/3 of the pot but this time, given the number of players, I believe sizing it slightly larger for value is appropriate. I don't think there's much chance of somebody drawing to something that will beat me, but perhaps another reason to bet here is to fold out one or two players...? I don't know if that makes sense here or not; I have neither practiced nor read a great deal about isolating.

How should I size my cbet?