I am glad Brundlefly chimed in, I was on a phone before and could not type a good description for you.
If you have not used audio snap, here is a
thread from a couple weeks ago worth reading. FastBikerBoy's video (post #2) gives a nice overview of setting markers (in that thread the point is to extract tempo, you want the same thing I think, but apply the tempo instead). I added a "setup" comment to that video in post #6, but that was also advice from FBB, just another video.
In addition to the info in that thread, here are a couple quick videos:
Getting started with AudioSnapUsing AudioSnap for Drum Replacement I think what you are looking to do is similar to "drum replacement" but instead of extracting the timing as MIDI, you want to align your audio markers and used your quantized MIDI file to apply the timing as Brundlefly said above.
The quickest way for you to learn this is to create a new project, set the bpm, and import the audio and MIDI tracks so you can visually stack them (and while setting markers can easily see the MIDI reference). Turning on Aim Assist (X) will give you a vertical marker to help guide you if you have not used it before.
AudioSnap is a nice toolbox, but can be confusing at first, so do not hesitate to ask more questions.