1) You should get into a school first before you compare- it doesn't matter what your 1st choice is while applying.
2) They all have a similar costs and are cheaper than most med schools, so check plus for that
3) If Cook County is a plus for Rush than Kings County needs to be a plus for Downstate
4) The ranking of specialties at each hospital doesn't mean much. It might mean better LORs and more research in that dept, but you could always apply for away rotations at any school that is ranked highly in the specialty you want. And you don't know what specialty you will gravitate towards
5) you should probably look at more than 3 schools, since acceptance rates to individual schools are pretty low
You choose med schools based on cost, quality, location, fit. They all have the same cost. They are the same quality (Rush has really nice facilities, Downstate is know for its strength in clinical training, Upstate is also good. Rush and Downstate would have the most access to research, but Upstate has more than enough to get you where you would want to go). Location, I have no idea what you want in a location (I prefer Chicago to NY and prefer cities to Syracuse). Fit (which includes curriculum) is, again, something I can't determine for you (Downstate and Rush have similar missions which are very different from Upstate's). Their match lists look similar. Etc.
If you are applying right now, good luck!