I'm not sure if there are "published mins" but I believe the unofficial numbers are somewhere around 3000TT, an ATP, and some Turbine PIC. Everyone in my class had ~1000 turbine PIC. Exceptions have been, and no-doubt, will continue to be made.
A typical class of 12 will have about 6 regional types, 4 furloughees, and 2 "other" be it jet-freight, or corporate.
No one knows exactly when AAY will hire again. The SFB CP told me the other day that the company will hire 50 by years end. I personally don't know how they will pull that off unless they start this summer, but the system CP told me a month ago "fall". Once it does begin though, I assume it will be constant for around a year.