Never seen a hitch rack for a kayak, but sure have them for bikes. Did a quick search for kayak trailers, found many if you want to haul a dozen, but no luck in finding a trailer for just one.
Wife gave me a challenge for mounting a kayak on top of our motor home. With the AC's and all those vents on top, really a challenge and top of that thing is ten feet off the ground. At 14 feet long, can't find a clear spot on the roof, with an 8 foot wide home, could get into problems with the law by hanging it on the side, and no way will it make that turn trying to fit it on the inside with a two foot wide door.
Solution? Either buy an inflatable or try to rent one someplace. Bikes are not a problem, modified a rack to fit over the spare tire, let's go biking instead. To easy to dent the top of the roof on the Cruze with a roof rack, with bikes, would stick with a hitch rack.
88 Supra is no problem, easy to mount a kayak on top and did add a hidden hitch for a bike rack so can carry both. But not sure about camping out in a Supra. But do have a tent with an air mattress, that would be roughing it. No microwave, no TV, no sound surround, no AC, no comfortable beds. Ha, enough of this in the military, LOL.