It wont take much gear to start pushing the 213 passed what you're rated to tow. Stuff adds up quick! If you can travel real light, the 122 might do ok for you, but to be honest, I think you'll find you dont have quite enough vehicle for the task.
I tow my 212 with a 2010 Ranger V6. Manual transmission drops the weight down to 3300 available for towing, and I'm right up against that with all the stuff loaded. I increase my margin of error by staying in 4th (the strongest gear) and staying the heck off my clutch. I'm under no illusions this will last forever, but I'm a mechanic and I love my little truck, so when it becomes an issue, I'll fix it and move forward. Suspension and brake wise, the automatics are rated for 5500, so it never feels like the camper is bigger than the truck.
Here we are at the highest point of Hwy 12 in Utah. What a beautiful drive.
I had to rescue my buddy when his truck overheated towing his mini-lite. I hooked it up and went along my way with 5000lbs of trailer. Knowing my transmission wasnt happy I kept it nice and slow, but that trailer being close to the weight limit of what the chassis was designed for had me white knuckling the drive home. It was Porpoising, and everything that passed me was trying deperately to make me sway. We stayed under control, but it was twitchy and scary, and my poor wife got car sick.
As you can see in the picture, the truck appears to carry the weight well. Let me tell you, after a small 20 mile drive, I was done thinking I could tow something bigger!