I work for an investment company that buys non-performing mortgages nationally, so deal with this type of matter quite often. As previously stated, AZ is a non-judicial foreclosure state (no formal court process, a trustee handles the notice of default and foreclosure action.) I'd look up the owner's name in the land records and contact them directly, and ask some pointed questions--most importantly "Do you intend to enter into a payment arrangement with the mortgage servicer, or file bankrtupcy to stop the sale?"--this can help you gauge how much time you may have, depending on how forthcoming the owner is--PM company will probably be relatively useless here.
I'm not sure your odds for getting deposit back, but standard industry practice is to over $1500-$5000 (depending on value of the house), for the occupants to vacate 30-60 days after the foreclosure sale, leaving the house in "broom swept condition".
I'd negotiate best you can and turn this into a blessing on the way out.