The person wants to camp. If you camp, you will have mosquitoes. Why harp on that. If you can't handle mosquitoes, stay in a town.
Now to the better parts. I have camped in both the northern MN and the UP. (not U/P). Both are great. If you want some higher mountains, the UP. If you want lakes, than MN is best. Both will give you a great experience.
If you want something different, try the North Shore Drive from Duluth MN to the border. Means moving a lot.
MN has State parks, State forests, Core of Engineers, City, County and of course private CGs. If one is full, go on to the next.
By planning a little ahead, you will find county fairs and city Days to go to for a different experience.
But don't worry about mosquitoes, humidity, or hot or cold.
You will be in the woods. Shade is 5 feet away. The lake will be less than 50 feet away. An a jacket will be in your car.