As a Good Sam member, if I were planning a trip like yours, I would get on the GS web page, go to the "Plan a Trip" menu, click on "Trip Planner," and put in my starting point and destination. The program will then draw the shortest Interstate route (most likely I-10). But, if you don't want to go the shortest route, you can also drag-and-drop an entirely new route or just displace part of the shortest route to an area you really want to visit.
Using "Search Near My Route," you can go out 15, 30, or 60 miles from that route, then click on "Things to Do" and "Campgrounds" to see everything available in the GS database within that swath of territory. Under "Things to Do" you might select "Festivals", "Picture Perfect," and "Small Town Gems" to find events, scenery, and picturesque villages to stop in along the way that you might miss without the Trip Planner. You may even find that you want to leave the Interstate for long, parallel distances of US or state highways just to be able to see more of these events/sights.
I have used this method for several years for routes as varied as Denver to Alaska in summer and Denver to the Texas Gulf Coast in winter. I don't always follow it as planned because I like a flexible schedule and route. But Trip Planner is a great starting point and an easy way to get a lot of information quickly on any route. And, although I am not a salesman for Good Sam, I really appreciated knowing that I had their Roadside Assistance on our 2013 Alaska trip.