In my prejudiced opinion Utah is the most beautiful state in the Union and you are leaving out most of it! I don't live there but I've been spending vacations there for the past 40 years and I still haven't seen half of what there is to see.
Valley of the Gods is right at the base of the Moki Dugway mentioned above. Drive up the Dugway and follow the road north till you hit Utah 95. A mile or so west and you'll be at Natural Bridges National Monument. From there continue north up 95 towards Hanksville - the drive around the edge of Lake Powell at Hite Crossing will have you stopping and reaching for your camera. At Hanksville turn west on Utah 24 and drive through Capitol Reef National Park - stunning! At Torrey turn south on Utah 12 -acknowledged by most as one of the most scenic drives in the world. In just a few miles you'll be going from red rock canyons to tall pine forests and then down again to the town of Boulder and then Escalante. West of Escalante, stop and see Bryce Canyon National Park. Continuing west, you can hit Zion National Park or Cedar Breaks. So much to see! I wish it were easier to attach photos on this site....