Med-psych at Duke, MUSC and Rush all have at least a resident or two per year (Rush being the largest program). It is important to go to an established program like these because you don't want to be the only person doing med-psych and feel all alone and left out. You want to have the support of other residents.
I am not sure how great med-psych will be. It is a very intense experience since an IM residency beats out the most intense of all psych residency by far. Currently, the job market for med-psych is also not clear.
Lastly, I don't think that choosing a medicine-intensive psych residency will circumvent any problems. After all, just like medical school, if you don't use it, you forget it or are not comfortable with it anymore. Therefore, if you want to keep up with your medical skills, you need to do med-psych and then practice both medicine and psychiatry. It was only a short while ago that all psych residencies required a prelim year in medicine (or maybe transitional year was allowed) but those psychiatrists, who are now older, are no more comfortable with everyday medicine problems than the newly graduated.