Do a search for a poster named "Jessica." She was on here a lot last year, went to a Cal State and pretty much got in everywhere (I think she was deciding between UCSF, UCLA, Harvard, and Hopkins). She definitely was an amazing applicant and probably would have excelled and stood out no matter what undergrad she went to, but I think she's a good example of showing that your undergrad really shouldn't hold you back in any way, assuming the rest of your application is competitive (ie, you don't have to go to an ivy to get into a "top" med school).
A few tips for applying:
1) Apply early
2) Apply to a range of schools (some pipedreams; the bulk of them should be ones where you have realistic chances; a few less competitive)
3) Apply early
4) Avoid state schools where you are a not a resident. they only take their own residents so you'll be wasting your money and time.
5) Apply early
6) Send secondaries back in promptly.
I had GPA 3.92, MCAT 33. Didn't get accepted until the 2nd time because I applied late, to big name programs and to alot of state programs. Rectified most of that the second time around and had lots more interviews.
Don't be concerned about CSU status. Most universities out there aren't that great anyway.