Can you tell us a bit more about your situation?
1) Is this a flat plate slab or a slab on steel decking system?
2) What's the source of the load?
Given that small edge distance, I'd be hesitant to try to do anything too serious with such a connection. Drilling the hole for the through bolt may well initiate your side face blowout failure.
I tend to avoid through bolting in favor of some form of adhesive or mechanical anchorage precisely because there are more established design methods for those setups. That said, I do acknowledge that though bolting surely does produce the strongest connection in some situations.
In similar situations, it is quite common to use punching shear provisions. I've done it myself. One of the things that I dislike about that, however, is that the punching shear testing is mostly done on slabs with columns above and below the joint. I feel that rigid clamping action encourages a failure frustum that may not be particularly realistic for something like a through bolt connection. So, in this, I do favor some kind of anchorage check.
In your particular situation, I imagine that your shear load will tend to encourage a pryout failure mode as discussed in the anchorage provisions. I'm not sure that's something that punching shear will capture robustly.
Depending on your situation, another resource might be the SDI provisions that deal with concentrated loads on metal deck slab systems.