$2k for a week?We took that trip a few years ago. It was beautiful, but very pricey.
Our family had more fun renting a housekeeping lake cabin on a secluded 7 mile lake in Chippewa National Forest, Minnesota. For less than $2k we had a lakefront cabin and they provided a small 15 hp fishing boat parked on our own dock. Fishing (Walleye, Pike, Bass, Crappie, Perch), paddle boats & boards, swimming beach, diving board, volleyball, basketball, bikes, bon fires, hiking, & lots of other kids in neighboring cabins that will keep your kids entertained. Great golf at cheap prices in the area too.
Jolly Fisherman Resort - Waubun, Mn.
As a kid I had a friend whose family had a nothing fancy at all cabin in northern Wisconsin. Got to go a couple times, it was a blast. Took the Jon boat out all day and just did whatever.