Light towing with a 700r4

[tutone]

Hey all, I did a search and really nothing stood out for an answer for me. I have a 98 Z71 that I have had for 19 years with a 4l60E , I believe? Anyway it is the equivilent of the more modern 700r4. The owners manual states to tow in 3rd and not 4th. Now my drivetrain in this truck (The 71in my avitar) was repourposed from an early 80s squarebody 2 wheel drive. I would like to put a hitch on it and pull my Scotty camper. Trouble is, I have heard horror stories on the OD trans not being up to it. Ive done it with previous trucks of this era with t350 transmissions. Anybody got a story or some tips and tricks? The trans shifts great now and I like the rpm reduction it gives. I would hate to rip it out by the roots. As a side note, the Scotty weighs 1000 lbs and a tounge weight of 175.