Welcome to the forum and the world of camping!!!
It can all be very confusing at first. At least your asking questions before you buy. There are a lot of numbers to look at besides towing capacity. Gross Vehicle Weight Rating (GVWR), Gross Combined Weight Rating (GCWR), Rear and Front Axle Weight Ratings (RAWR & FAWR) and your payload capacity, which is your actual vehicle weight loaded ready for camping subtracted form your GVWR. You need this number to see if you have enough left over to handle the hitch weight of the trailer, which will fall between 10 and 15% of the loaded trailer weight.
When looking at trailers you will be given dry weights, hitch weights and usually the gross weight of the trailer. Go by the gross weight when looking to see if your vehicle can handle the trailer. The dry weights do not include additional options, filled propane tanks, or whatever gear you'll load in the trailer.
Not everyone agrees, and that's OK, but I take the GVWR of my trailer and try to keep it at 80-85% of my vehicles tow rating. That way all my numbers should fall within their rating limits, always check to make sure.
Also note that if you max out on your vehicle's capabillity, you could have some unpleasent towing experiences when towing in adverse conditions such as rain, high winds or mountains.
With that being said, a pop-up is the only trailer I can think of that your vehicle can handle. There may be some, like what they call a tear drop, but I don't know anything about those. Maybe some one else on here does.
Here's a link to some pop-ups. You can look at floor plans and you can also find out their weights.
Pop Up Camper Trailers by Forest River
I hope this helps.
Hope you find what will work for you.