In short the Jayco camper will do the job. CT's (depending on manufacture) are arguably more robust and they do handle corrugations better. Thats not rocket science, considering the CT is a metal trailer with a tent on top, regardless of how many bells and whistles it has. Whereas the Jayco has an aluminium frame and cabinetry to take into consideration when contemplating road conditions.
The purists and Jayco haters will tell you different though. Thats to be expected.
Six up you say, thats a few, can you squish em all into a Jayco (lets say) Eagle ? They proclaim to sleep 6, thats 2 per bed, and the dinette isn't all that big. You could whack the annex up (walls and all), that'd house the clan. It wouldn't be any slower than a CT.
The Jayco is off the ground, thats a big bonus. The quick setup is great for overnighters too. On the other hand, when setup the CT would have far more room for the mob to congregate in.
I love Jayco campers, they're clever little things, practical too.
At the end of the day you have to decide on the usage, weigh up the pros and cons and make the decision based on your requirements.
As for swapping ... the best way to do that would be to swap the CT for cash and the cash for a Jayco camper.