The 3200# pin weight is likely based on dry weight. If so, the actual pin weight is probably close to 4000#. I would be pulling with a dually, but it is because I really like the extra stability it provides. It is my driver, but I don't drive it daily. I am in a medium sized city in the midwest, and it doesn't give me any issues getting around or parking. I generally park a little further back and back into the spot, but I need the exercise anyway lol.
Don't use the numbers off the website unless you are putting your actual VIN to see real specs. Every truck will be different. Look at the payload sticker on the door frame and it will tell you what your payload rating is. Take the weight of the hitch, any extra passengers and gear, and anything you or the dealer add to the truck since it was built, and the pin weight of the trailer off that number. If you are still positive, you are probably good, if you are negative you are overloaded.
I really don't think you will find many SRW that will take a 4000# and people and gear honestly. I would not want to go much higher than that in my own truck and it is a dually. At the end of the day, it is your call, though.