My 98 is rated for 5000 lbs also, and 6000 lbs with a tension/trailer leveler thing (I forget what they're called)
I have a manual and have towed the 6x12 dual axle uhaul trailer a few times loaded to about 2000lbs, not easy in upwards hills, but definitely doable. Wouldn't recommend more than that unless you have the 3.5 engine. My 3.0 barely puts out 175 hp. But it loves to produces torque.
Thanks, that is what I was looking for, some real world experience.