I had the same problem. My solution was low-tech and very low labour but works well for us. I got a 5' piece of 4" flexible, perforated drain pipe like that used around foundations of new buildings and for agricultural drainage. Home Depot and Lowe's sell it in long coils but also by the foot. I also bought 2 end caps for it. Using long plastic locking tie straps through the perforation holes I suspended it from the rear bumper. It has been there for almost 5 years now, everything is holding up well, doesn't look bad. The cost was just a few bucks. The only complication has come from customs inspections when crossing the US/Canada border. It often catches the eye of the officers who want an explanation.
RV Parts Supply stores have tubes from 24" to 60" (about), that are for the hoses. I have a 60 inch on my TC. It attaches to your TC with four screws. It can be attached under the wings, back of the TC or? It can also be used store fishing rods also.
I did something similar to both of these suggestions and mounted a 4" x 48" piece of perforated white PVC thick wall pipe under the drivers side of the TC. I glued a fixed PVC cap over the rear end and a threaded PVC cap on the forward end and used slip on PVC mounting brackets and four screws to attach it to the camper. The brackets are designed to attach the pipr to a wall, etc and every thing was available at my local in-ground sprinkler store. I simply unscrew the threaded cap to access the hose, and the perforations in the PVC pipe allow enough airflow to dry it out.
It easily holds a 10' section of flexible sewer hose.
I'm guessing it would cost around $40 - $50 to complete today, but I've used it for over 18 years on two different TC's, so it's hard to remember exactly what it cost.
Remember to check, check and double check where you plan to mount anything to your TC so you don't screw into a wire or gas line.