Looking to apply to PhD programs in immunology/virology. Chances?

What are my chances of getting into PhD programs in immunoloy/virology in the following schools. First, although, here are my stats.

Graduated from a small liberal arts private institution in the Midwest.
Major: Biochemistry
Minor: Chemistry
Undergraduate GPA (cumulative): 3.82
Major GPA: 3.87
GRE:
Quant: 159 (75th percentile)
Verbal: 159 (81st percentile)
AWA: 4.0 (56th percentile)
Composite score of 318.

Approximately 1 year of research in molecular genetics/biochemistry
Have worked as a TA/lab assistant for about a year.

Currently considering applying to these school’s PhD programs in immunology/virology/biomedical sciences:

University of California at San Diego
The Scripps Research Institute
Baylor University
Vanderbilt University
Northwestern University
University of Iowa
University of Florida
Emory University

Am I aiming too high or too low with any of these universities.

If it makes any difference, I have a strong interest in studying HIV and cancer.

I have also considered applying to:

New York University
Columbia University
Cornell University
Duke University
Rockefeller University
Rochester University
Washington University (Seattle)

However, like above, I do not know what is considered to be a “reach” for my stats and what is actually feasible.

Any advice and opinions are appreciated!

Thank you!

-Patrick