Nothing wrong with a 4 bet shove here, also nothing really wrong with taking a flop and playing post. The deciding factors for which route to take are going to depend on villain image and how comfortable you are playing post. 

Judging by your comment about folding if no A or K shows up, I'm guessing you are not super comfortable playing this hand post, so I'd elect to shove. This is not a bad flop at all for AK. It's a great spot to float and see what the villain does on turn. If he double barrels we have to decide if we think he's doing that with hands other than pairs, as he isn't likely 3b pre with that stack with anything that contains a 3/4/6. 

The 2nd question requires a lot more info and table dynamics, but a general guideline would be to put pressure on everyone. Study Push/Fold ranges and get some info on the kinds of hands you need to call off for 10BB when you raise pre. You would be suprised at just how much you can profitably open up your range. The one dynamic that is playing a factor here is that your opponents have 10BB, which means they seem to be nitting it up quite a bit. You should be able to open up and steal enough to cover the times you open and get shoved on.

Can you please explain how it doesn't matter if we have 15bb or 54bb when everyone else has 10bb? I think I'm missing something valuable. I'm assuming you will also say if we had 100bb it wouldn't matter then either?

I come from an approach where we can call off a lot lighter with 54bb than we can with 15bb purely because our stack can take the hit. Essentially, our Risk of Ruin chances are a lot lower, allowing us to gamble a lot more. It comes from the same perspective that allows us to raise with a larger range when we have 50bb than we do when we have 20bb. If this is wrong, could you please explain to me why, and what it is that is correct?

I do understand from a basic mathmaticaly standpoint that we are effectively only able to win 12bb/lose 10 bb in any given 1v1 hand. I'm more concerened from a meta game/game theory approach than the straight mathmatical approach.

Thanks for the reply. I was doing some number crunching today and I'm likely calling off slightly too light when I'm faced with situations like this. It's double bad by me calling too light with suited connectors, but not calling off light enough with pocket pairs. 

I'll have to make some changes to my calling ranges, and spend some more time running the math. While I don't fully base every choice I make on the math, I do take to heart when I'm making huge equity loss choices. Sometimes I just have to have a bit of gamble in my game.