Tow with what I have.....I need your experience..

Yes, you'll be over on your cargo rating but not your RAWR. I personally wouldn't hesitate to pull it with my truck. These trucks are capable of carrying much more than what they're class weight restrictions keep them at. I've had around 2K lbs or more on mine between cargo and hitch weight and it still wasn't squatted level. You could easily be closer to 3K lbs. Maybe look at Timbres or airbags.
Some will tell you not to go one pound over your rating though.