To be honest with you, I think you can get into a great allopathic IM program from any of the DO schools. The general rules apply: good board scores, great LORs, good 3rd-year grades, etc.
Rotating at big-name hospitals and getting great LORs from these places can only help you. I've also heard good things about NYCOM's clinical rotation sites.
Once again, your focus should be on landing a solid IM residency, preferably one that has an oncology fellowship program. That way you can do oncology research and make connections with the oncology faculty at your program.
Any DO school will provide you with the opportunity to match well in allopathic IM.
For IM, your school name/reputation and degree will not keep you out of 99% of the programs. It will be up to you to work hard and get it done.
take care.