I may have mentioned it in that thread, I know I have somewhere here on the forum before. Our wrangler will not haul Tw on the back rack, just like your Patriot. Our 2002 liberty will haul it just fine. Matter of fact, I hauled it down to Fred's in Reno and back without issue. Of course you wouldn't want to go wrenching the steering wheel real crazy.
Just a thought, they have those fold-able 4x8 trailers. I suspect a little more hassle than the hitch carrier, but could save some room with the condo thing going on!