You're right, Lyn, storage is an issue in a 13'er. We are four and have a Scamp
13' with front bunks. Our solution is to keep our clothes in the back of the tow vehicle. Turns out to have an unexpected advantage: if you're on an outing away from camp and the weather changes unexpectedly, you can do a quick change. We just keep PJs in the camper. As for adding exterior storage, there's only so much you can do. The frames won't take much weight
on the back bumper, and towing stability can be adversely affected. The fiberglass shells are not designed to accept roof-mounted cargo carriers, either.
makes a 16' model that has the same bed arrangement as the 13' bunk model, but adds more kitchen space and a small storage room (optional bathroom):
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You should be able to keep the weight
below 2500 pounds if you're careful. This model has been around a long time, so you might find a decent older one. You'd have to be really lucky, though, to find one for $5000 that has everything working.
Last, I think you will find most trailers come with a propane
stove and possibly other propane
appliances as well. You would do well to leave them in place, even if you do not plan to use them. They would be important to most future buyers of the trailer. If you are concerned about safety with children around, you can always remove the propane tank and leave it at home. We don't use our stove, either, and we just put a tray on top to make more counter space.