The good news is that pop-ups are easier to tow, and easier on the vehicle towing them because there is much, much less aerodynamic resistance.
Going steady down a flat road your Chevy Traverse will not care what the weight is, only how much wind resistance there is.
Climbing hills your Chevy Traverse will care only about the weight, even the less-than 6% hills on interstate.
I do not know what the limiter is for the Chevy Traverse. The transmission is the expensive and vulnerable component you need to worry about. If the trans is what is limiting the towing capacity to only 2,000lbs then I would be concerned.
Will you tow in flat areas for short distances, or
will you tow long distances through hilly country?
Makes a difference.
You can get away with short trips over flat roads with a slightly heavier trailer, but keep the acceleration slow.
Hills will greatly shorten the life of your transmission.
New vehicle time? If you really get into camping then your next move is to sell the pop-up and get a bigger trailer. You will go over-board and get the biggest thing on the lot, and soon regret it, sell it and get a reasonable size with compromises, and be stuck with that 3/4 ton truck you bought to tow it with.