Hi Laura, thanks for using Ask Extension.

In some states in the northeast like Maine, Connecticut, Rhode Island, et al, do list Rosa rugosa as an invasive.  In Michigan, Rosa rugosa is not classified as invasive by the state and is not considered as invasive, prohibited, or restricted by the Michigan Invasive Species Program.  It is not on the Midwest Invasive Plant Network's watch lists.  It generally does not behave invasively in inland landscapes. It is not even considered a noxious weed by the DNR or MDAR. It can still spread by suckering, but it doesn’t exhibit the ecological takeover seen on the Atlantic coast. In Michigan, especially away from dunes and shorelines it is usually well behaved. In Michigan we do not have the tides that help disperse seeds.  Our inland soils and moisture patterns help to keep it in check. Its short-range rhizomes are relatively easy to manage.

Alternatives could include Buffaloberry, and Japanese Quince.

Check out the following links:

Seaside rose: Rosa rugosa (Rosales: Rosaceae): Invasive Plant Atlas of the United States

Shepherdia argentea - Plant Finder

Chaenomeles × superba 'Jet Trail' - Plant Finder

I hope this helps.