KK and Axx flop, Check/Fold?

Small stakes full ring, loose table, pretty passive.

You pick up KK UTG, raise to 4x BB and get called by X number of players behind you, blinds fold.

Flop comes Axx rainbow.

Is there a number of players X seeing the flop which would cause you to check/fold your Kings on this flop?

Or do you bet, lets say, 3/4 the pot regardless of X?

I go all in on a AKx flop

i would never check/fold that flop, make a continuation bet on the flop and try to rep the ace. they might think you have aj,aq,ak the only people calling now usually have you beat, you could try and bluff at it again on the turn but for me this is about 50/50 sometimes it works sometimes it doesnt

The thing you have to remember, is that on a loose table people play any ace. In early position, it's a losing proposition to continue with KK on an Axx flop at a loose table. Especially with more than 3 people to the flop. Someone will have it. Some douchebag will go in with A2 offsuit for a raise and then call you down like no tomorrow.

In late position seek a cheap showdown by raising the flop if any bets take place that seem less than completely confident. In early position check/fold unless you can put a bettor on less than an ace.