Go for it. Just make sure what ever B you get has ample tow rating to pull the pop up when the B is loaded. I have a support trailer to tow behind my B when I go to the races. When pulling it, I take the spare wheel off the back of the B and store it in the trailer. Otherwise, I can't turn left as the tire hits the jack.
In my support trailer, I carry extra fuel, a generator, and am in the process of wiring the insde for 110 volts and when I find one, I plan to put a small motorcycle or scooter in there too. My B has a 5000 tow capacity and the trailer will be 3000 or less loaded. This will be at the races and such. When I travel, I stop at places with hookups. It takes 5 minutes to break camp and leave, and that counts putting my shoes on.