There is a lot to see and photograph between SLC and Moab. Having said that, if I were you, I would just plan to get to Moab straight away rather than wandering around in the Swell or elsewhere en route to Moab. This is a target rich environment and from the standpoint of productivity you'll be much more satisfied here than areas in between SLC and Moab. You've already received some solid suggestions for areas to photograph around Moab. I'll add that you might find my ebook, "
The Essential Guide to Photographing Arches National Park" to be of value. Don't hesitate to stop in at my gallery in Moab if you've got questions about the area upon your arrival. The Edge Gallery is at 137 N. Main St., right next to the best breakfast joint in town: The Love Muffin.
From Moab you have three options: go south toward Monument Valley or go north and then west toward Capitol Reef or Zion via I-70. Zion via I-70 is the fastest, least scenic route. Either of the other two routes will take longer but are more scenic in spades, especially the route that goes through Capitol Reef, over Boulder Mountain via Hwy. 12 and through Grand Staircase-Escalante en route to Bryce and/or Zion. Truly, you cannot go wrong with any of these routes. If you go south toward Monument Valley you'll have the opportunity to shoot that area, then Page/Lake Powell, possibly Grand Canyon, on your way to Zion and Death Valley. Definitely set aside a day or so to explore Valley of Fire SP in Nevada.
Best of luck. May the sweet light be with you!