I'm not sure about a IM residency with an AM program. However, there is a program avaliable at this link click here They offer a fellowship for MD/DO's who are interested in Integrative medicine. I plan on attending years from now since I will not begin medical school until next year. That's like what 6-7 years before I can do the fellowship? I know I will do the fellowship since I plan on being an integrative medical doctor.
Give them a call, they maybe able to help you better than I can.
Do a search on the FREIDA website for the IM programs you're interested in. Under the category "Educational Benefits" for each program, you can see if they offer an "Alternative/complementary medicine curriculum."