I've been flat towing Jeeps for 50+ years. Nowadays, it's much more user-friendly, with adjustable tow bars from Roadmaster, Blue Ox, etc.
For example, check this out: https://www.etrailer.com/Tow-Bars/Roadmaster/RM-522.html#exp-productdetails=.all-description
I have towed all types of Jeeps, from flat fender WWII models, to off-road racing Jeeps to CJ's, YJ's, TJ's, LJ's, and our current JKU 4 door, with motorhomes and with truck camper rigs. Bottom line? You shouldn't even notice it with your setup. Several/most states require separate braking systems in the towed Jeep; these also are available at etrailer.com, amazon, etc.
We recently returned from a 2,000 mile trip flat towing our JKU model, with our 20,000 lb Ram 5500/triple slide camper. Our Jeep has about 1,000 lbs additional weight with our off-road gear. It was smooth sailing all the way. If you need any additional information, send me a PM. By the way, having owned more than 20 Jeeps over the past 50 years, if you plan to do any off-roading in rough terrain, I recommend the 4 door model.....