CCNY is an excellent school if you want to do premed. Most east coast schools are completly aware of how rigorous the science department is at city, so if your worry is about reputation, have no worries. You have to work your butt of though because no one is going to be nice with you and you work for everything you get in your classes. No one will force you to work or go to class or anything so what you put in is really what you come out with at ccny.
Otherwise same goes for the premed office. no one is really going to tell you what to do. But if you are serious and get all your stuff done by the time you apply, they will make sure you make it into wherever you want to go. There are some really excellent professors at city, and I will be working in a lab with a professor who got her masters from columbia and phD from Harvard on an NIH grant she just recieved so Id say CCNY is pretty big on lab research and unlike other schools is very accessible to students who show motivation and devotion to the work.
For the price of CCNY it really is a catch, but just be warned that you have to be serious about your work if you want to do well after and get into a good med school.
Last year out of 18 post bacs, 16 got into med school including yale, columbia, boston and some others.
Undergrads dont do as well but thats only because some students who apply have low MCATS and gpas and are determined to apply anyway. Students with high gpas are as competent im sure as any other big name school. My friend just got into Boston University med and another into columbia, and a friend of mine got interviewed at UPenn.
So CCNY aint all that bad. But like I said you have to be serious becasue no one is going to tell you what to do.