Suggestions for a lightweight small travel trailer

You might have a look at these:
Lil Snoozy: 6'4" headroom
Eggcamper: 6'7" headroom
These are 17' long, but assuming you have the Unlimited (longer wheelbase) you should be ok... other than the rough ride, of course! These are light weight enough and streamlined enough in shape to keep your Wrangler from struggling too badly. Some sway control would still be wise with a vehicle like yours, even with a short trailer, because Wranglers aren't known for impeccable highway handling to begin with.