Mt Hood is Forest Service though, but it's not much different than NPS. Even if it's not in a national park, Timberline Lodge is considered "national park rustic".
I know there's this aura around "national parks" but there are excellent areas that aren't managed by the National Park Service. Over in Sequoia and Kings Canyon is part of Sequoia National Forest called Giant Sequoia National Monument. The area is pretty much managed together by NPS and the Forest Service. Mt St Helens is still under Forest Service management even though there's some support to designate it as a national park. I guess a century ago there was talk about turning the Lake Tahoe area into a national park, but the proposals didn't get the point where there was a vote. I mean - can anyone imagine what the area would be like if it became a national park in the 1920s?