I am afraid, that this is not a good spot to apply the stop'n'go.

The Flop isn't a great one for you. When you go all in here, it screams :"i have no queen and no pair" so he is calling you with a queen and pocket pairs when you are dominated. If you decide to call the PFR i would recommend to check it to him if you think you have the better hand. You induce a continuation bluff and Check raise him all in.
I would say if you just had less than 1000 chips after the preflop call the stop'n'go is better, because he feels commited with Kx and Ax then.
In your case i push preflop. You can get calls with a lot of hands that don't call your stop'n'go like KJs A5 JTs because he thinks he is commited and you could be on a resteal. And you give him no possibility to outflop you.