You may need the "Tropicalesque" forum.
I can't even think of one plant to fit your description. Perhaps someone else can who has more cold climate experience than me.

I'm curious as to the perennials in MIchigan you're only using if they "come up in APril and die by June".

Off hte top of my head I already can list Bee Balm, Asters, goldenrods, Phlox, Montbretia, sedum, Joe Pye Weed, dahlia...that don't do ashow until July or later.

I suggest you look at bulbs. They can remain safe underground during a winter that cold. Brent and Becky Bulbs will hav a few summer flowering bulbs that MAY handle a mulching and make it overwinter there.