Short answer on your qualifications...yes, you are in the zone. In fact, you are what they are looking for...not that airline experience is the only pilot time they have recently hired (see a few posts above, they cast a wide net!!).

As for getting a class date 1/3/6/etc months away, I'm not sure of the answer...someone else in a recent class might have experience in that.

But, like I have said here before...start the process yesterday!! Don't wait...and make the decision based on the circumstances as well as the audition that you have for the company. The interview (audition) is a two-way street...especially at a company/job like Atlas (heck, all ACMI carriers).

Good luck.