My partner and I have a goal to visit all the national parks, so we’ve done almost all of these recently.
Mammoth cave is by far my favorite, but I’m a computer nerd, and a giant hole in the ground is my natural environment, so there may be some bias.
Gateway arch is okay, but not worth a long drive in my opinion.
Got springs was very neat. It has a different feel than the other parks I’ve been to. It is a bit “touristy”.
New River Gorge is amazing. Be aware that any hiking there is going to take a lot of vertical travel, a 1 mile trail there is more like a 3 mile trail in a flat area. That being said, it has a lot of wildlife, picturesque views, unique structures (big ass bridge) a cozy little town (Fayetteville reminds me a lot of downtown Bloomington) and plenty of activities (hiking, rafting, zipline, tree top obstacle course, history, shopping). Easily a top recommendation.
Congaree. Probably the most wildlife I’ve seen at a park. Snakes, salamanders, pigs, owls, fish, skinks and a shit ton of fuzzy caterpillars. Very buggy, but honestly the mosquitoes weren’t as bad as everyone said they would be. Also highly recommend. The park has a long boardwalk as it’s “main” attraction, which is very accessible. Saw lots of wheelchairs while I was there. I’d recommend taking a kayak tour as well.
Great Smoky Mountains is a great choice as well. Has that authentic “National park” feel. Very big (for an East of the Miss. park) Gatlinburg is nearby for lodging and other activities. You could easily spend a week here between the two. I like more unique “unique experiences” but GSM would be an awesome choice if your family isn’t very adventurous.
Don’t forget some state parks while driving through. Red River Gorge in KY is one of my favs, and easily worth the trip on its own. You’ve got Natural Bridge State Park right there, and the skylift is the best way to get to the top. Shout out to Daniel Boone coffee shop, best breakfast burrito I’ve ever had, but the line goes out the door, so be prepared to wait a little. FYI, this area had a bad fire last year, not sure about the extent of the damage.
All in, I’d say do GSM. Solid pick, easy to get lodging, lots to do if the weather doesn’t cooperate. On your way over, hit up Red River Gorge on the way if it’s not too far out.