Keep the plane registered in Michigan.
North Carolina has yearly personal property tax which is based on the value of the plane.
The property tax varies by county and can be stupid expensive. When I finished my -9, Union County, NC tired to bill be based on a market value of $65K. IIRC, that was around $1600/yr. I talked my way down to around $450/year before moving to SC.
The NC state sales tax is 4.75% but each county adds some on top of that. For example, Charlotte's combined sales tax is 7.25%
North Carolina taxes your airplane on where it is based, not where it is registered. Some say it depends on where it is at 12:01 AM January 1st but I believe that might be urban legend.
If you can keep a hangar and address in Michigan, you will save yourself a lot of money!