Hi inrebusveritas,
Re the NYC area:
CUNY is indeed a good choice; Jason Bishop and Janet Fodor would be an especially good mix --- the former is a phonologist who works specifically on prosody, the latter is a syntactician who works on sentence processing and is also interested in the prosody/syntax interface. There are, of course, other syntax and semantics people there --- and tons of other processing people, too. You would also be able to attend classes and events at NYU (and other schools that are members of the local inter-university consortium, of course, but NYU is super-close to CUNY).
You might as well consider applying to NYU, too. We have a good crew of syntax and semantics people. There is currently no one at our dept who works on prosody (not that it can't change in the future), but you'd have access to CUNY folks.
(Feel free to PM me, too, if you have further questions.)