Glacier NP is spectacular.
Just be sure to check the Glacier NP official website to learn when the campgrounds and Going-to-the-Sun road are open. Snow lingers into the spring in northern Montana.
The parking lot at the Logan Pass visitor center can be completely full for much of the day during the main season, so the free shuttle bus is a good way to avoid that hassle.
Also check closer to your intended visit dates on the status of forest fires and smoke in the area.
If you'd like to avoid crowds and see the same spectacular scenery, try camping in the West Glacier/Apgar area, and then driving your tow vehicle to Bowman and Kintla Lakes. The road in is a bit rough but you won't need 4WD-- just high clearance is recommended. Especially nice if you travel with kayaks or a canoe. We wouldn't take our AS on the road, despite the temptation of small primitive campgrounds at these lakes. So for us, they're a day's outing. (Though we once did a 2-night canoe trip on Kintla Lake.)