I'd travel out of L.A. via 15N to 40E and on to 54 / 35 / and in to Overland Park area on 50 -- Looks like the nearest campground to Overland Park area is Walnut Grove RV
www.walnutgroverv.com - there is also Worlds of Fun in Kansas City, Mo area but it looks like it is 15 miles from Overland Park.
While visiting the area I'd recommend Gates BBQ and a great steak at Hereford House Restaurants (they have several locations).
Safe Travels and Congratulations to your daughter !!