I'm not specifically familiar with Michigan. But, in most states, you would not pay state tax to the state where the estate is. The estate is a MI taxpayer (and filed form MI-1041), but you are not. Distributions from estates and IRA custodians located in another state (e.g. MI) are not considered MI source income to a non resident.
I don't think you need to file a MI tax return.
See page 6 of the MI instructions for examples of MI source income. https://www.michigan.gov/taxes/-/media/Project/Websites/taxes/Forms/2022/2022-IIT-Forms/BOOK_MI-1040...
