The hotels that Pinnacle stays at MEM are either Homestead (long term), and Radisson (right by the airport, for short term). Homestead is pretty close to the training center, Radisson is good for recurrent training because they provide on-demand shuttle to Flight Safety.

The training center/Homestead neighborhood is pretty bad, as is most in the vicinity of MEM airport. History includes carjacks, shootout, break-ins. If you stay inside at night, lock your doors, it's okay. Do not venture outside (i.e. go out for a friendly walk/jog), unless you wear kevlar.