Newport State park is a great place to take a short backpacking trip to quiet campsites that are near lake Michigan. I haven't been able to score a site yet with lake access but have heard there are some. The sites I have booked have both been large enough for 3 2-person tents and have a food storage bin in each.

If you are new to backpacking and want to try out your pack before heading off on a multiday excursion, I would highly recommend coming here 1st.

The rest of park offers a nice beach and some playground equipment for the kids.