Your max you can tow is 2700 lbs. But that is just one metric. You also need to make sure that you are under weight on
- Tow vehicle GVWR when loaded with people and trailer attached.
- Front gross axle weight of the car
- rear gross axle weight of the car
- hitch weight limit of the car
- GVWR of the trailer.
- if the trailer has electric brakes make sure you install a brake controller and use them.
Also, don’t get anything with a large cross section up front as that makes it real tough to tow. As another poster said maybe a T@B320. (I’m not sure how much they weigh but I really like them)
I don’t know anything about your car but would recommend a conversation with a knowledgeable service manager and ask if he knows any weak points on the car. For example, is the transmission prone to heating up etc. If so ask him if there is something that can be done about it, like a transmission cooler etc.
If your max tow rating is 2700 then that’s what you can pull as long as all the other things I listed are within spec. As a previous poster said though, don’t look at dry weights, try to calculate the loaded weight. Don’t forget to include stuff like
Water,
Battery
Propane
Maybe a partially full grey and black tank
Beer

.
All JMHO.
Good luck and hope you find something that works.