If the towing capacity is 1000 lb more than the GVWR, you should be ok. The GVWR is the maximum weight of the trailer, so you have 1000 pounds in reserve, which is far from being on the edge of safety.
Ensure you have proper weight distribution hitch, anti-sway devices, an integrated brake controller biased towards having the trailer brakes coming on first, and if the Cherokee seems a bit squirmy, consider installing tires with stiffer sidewalls. Airstreams usually have trailer brakes, and they should be kept in good repair because they may save you on some long downhills (where you are, that would be normal driving, right?).
When on long descents, gear down so the engine is doing most of the braking, and you're not overusing the brakes.
You should be fine. Enjoy!
Kevin and Leah
Accountants who tow sans regret
"I nostri cuori e le menti appartengono al flusso d'aria"