Take a trip to the needles district. Stop at newspaper rock on your way by. Go to the confluence. This is where the green and Colorado rivers meet. Been awhile but there used to be camping spots along the way. Elephant hill is at the beginning, not particularly hard just some tight switchbacks that requires you to back up into spots depending on what you are driving.
Not overly popular with most of the people that go to Moab, go up into the manti LaSalle mountains and do the loop road. It has some spur roads that go back to old mines. Might want to have a saw for downed trees. Camping along the way.
Some want to drop down to 4 corners just so they can be in 4 states at once. Nothing else really beautiful there but in the direction of the needles district.
On your way to poison spider there are dinosaurs tracks with tubes to look through. If you go for a walk you might be able to find some petroglyphs in the same area. Used to be a corn maize stash a short hike off the road further up the main road.
Not sure what route you planned to take for getting there, Utah has many things on the way if you are interested. Hit the national parks. Used to be a back way into arches. Watch for desert bighorn sheep.
If you are rock hounds there's geode sites north of Moab as well.
Hard to give much more without knowing the types of things your family members like.