You are way too over committed, two weeks is just not enough time to see all those parks unless you are satisfied with a drive thru on the scenic loops. Cut it in half. Rushmore, Devil's Tower, Yellowstone, and Tetons will easily fill up that time period as would Zion, Bryce and Grand Canyon. You'll have at least 4 days of driving in and out of Kansas. So that only leaves 10 days or so for everything else.
The RV is fine, Travel Advisor is targeted on the hotel staying restaurant visiting population not the camping crowd.