I will caution you that the major tourist attractions don't open until around the first of June.
Don't miss Chicken and Eagle along the Top of the World Highway. Yes your rig will probably be dirty after the trip, that's why they built wash bays. Smaller vehicles only to Eagle. Road is tight. Nice BLM campground about 2 miles west of turn off to Eagle.
Homer and Seward offer city campgrounds right on the beach/water, dry camp mostly.
Take the road to Valdez the view in town is spectacular
Just a couple of thoughts,
Bill