I turned down a university faculty position where I did my residency, accepted a university faculty position where I did my fellowship, then accepted another faculty position within the same university system. Now teach at a COM.
You can do it, just commit yourself to be excellent in all ways. There wasnt any less DO bias when I was training than today. Probably more. There is less DO bias today but with more opportunities. The problem is there are so many more applicants, so more spots are available for DOs, but there is more competition for them.