Nothing changes. You need a non-resident CCW Permit which is honored by the State which you are visiting. You may not open carry including handgun hunt in Michigan without a carry permit from another State as Michigan does not issue non-resident permits. Michigan, CO and others do not recognize any non-resident permits for CCW.
UT, MN and FL are the most common non-resident permits which WI residents get. If you have FL and UT, you do not need a MN permit. All FL requires for training is a DD214, Active .mil or Hunters' Safety Certificate . Most trainers in WI charge $150 total for both UT and MN carry courses given together.