A few comments:
-- If the AmeriSuites is available, it'll be so at $35/night. The All-Stars came up at $36 -- thus if one bid $36 and both the AmeriSuites and All-Stars were availabe, he/she'd get the latter. (And FWIW, the All-Stars were available only for four to six weeks).
-- Is it possible to get another hotel? Yes, but the risk is very low. The AmeriSuites (alongside with the now-defunt Nikki Bird) has hailed as the lowest-priced 2.5* option for more than a year (surfacing at, again, $35/night). No 3* (or higher) hotel has surfaced at $35/night in years. Even if one did lower its price, you will not be upgraded if the AmeriSuites is available.
-- You can check the AmeiSuites's availability via the vacation packages feature. If it's available (at $35/night), it will show as a pacakge option. If it's not, it won't show. This isn't a Priceline rule, but it's true for many hotels, the AmeriSuites included. I've followed 11 2.5* bids (in the last 90 days or so) -- in 7, the AmeiSuites was available as a package option and surfaced as the winning bid. In the other 4 it wasn't available and other hotels (usually the DoubleTree at $41) surfaced.
I use Priceline extensively (probably close to 150 personal bids in about six years) and in the last four years (since I became knowledgeable, mainly through BFT) only twice have I not been able to predict my "winning" hotel -- and in both cases I had narrowed it down to two hotels, both surfacing at the same price.
As long as the OP bids ASAP, odds are 99%+ he'll get the AmeriSuites.