Hello,
There are plenty of Infectious Disease MPH programs out there. A few are:
UC Berkeley (
http://ist-socrates.berkeley.edu/~microbes/mph/index.html),
Johns Hopkins (
http://www.jhsph.edu/academics/degreeprograms/mph/prospective_students/infectious_diseases.html)
Pittsburgh (
http://www.idm.pitt.edu/degrees.html#mph)
There are also some general MPH programs that don't require you to pick a particular specialty, and allow you some latitude to choose electives. In both of these types of programs, you will almost always have to take at least one epi class and at least one biostats class, and there's not much chance of getting around that.
For better or for worse (in your case), a lot of infectious disease programs are based out of Epidemiology departments. This is because a lot of the tools you'd use to evaluate risk factors for getting sick, vaccination performance/potential, and so forth, are epidemiological methods. Others are based out of microbiology programs, and I'm not sure if that's what you're looking for either.
You may also be able to find infectious disease programs in Global/International Health departments, and many of these may be focused more on applied work (i.e. control rather than etiology). The same may be true if you can find hospital-based/nosocomial infectious disease programs, but again, some of these are based in epi departments. Some health communication/community health education programs might also allow you to focus on, for example, STDs.
I'm interested to know how you plan to use your MPH - do you want to work in a hospital? Internationally? For CDC? Doing research, being an educator, or overseeing programs? As a physician in private practice? This should help guide you towards (or away from) particular programs.
Hope this helps!
