how many bikes?
Does a bike rack on the back mean you must remove them to set up the camper?
Maybe better putting them on the front of the CT (using an ISI rack or similar), or on the roof of the tow vehicle so they can stay on if you don't need them?
Also, bikes on the CT rear bar is generally not a great idea. I usually have some on the back of our jayco CT and they do bounce around a bit and make me pretty nervous even on good roads.
I use a Yakima doubledown 4 rack, which I can use either on the car (with camper off) or camper rear bar. Just recently I tried to remove the whole lot at once (bike rack + 1 x 20" kids MTB + 2 x 16" kids BMX bikes) and it was a back breaker. It's just a really awkward lift in general and even moreso if you trying to slot the rack in the hitch receiver.
FWIW my sister just got home yesterday from their lap in a caravan. They took their 6 bikes initially but shipped them home almost immediately after realising how much of a hassle they were going to be and how overweight they were.