I'm planning a trip to Alaska with my family in the last week of May, my plan is to stay south of of Denali and north of the highway, both places within 30 minutes of the lodging. A day in the park is mandatory since my family wants to see the landscape and big mammals, but I'm planning to spend a second day in the area to do a day trip to the highway (whether that's enough time in the region, hard to tell, and I know I'll likely miss Arctic Warbler since it might be too early).
Overall, staying within the park seems too costly for both the amount of people you have to deal with and the cost lodges within the park.