Lots of variables, but without any problems, 6000lbs loaded. You can find quite a few nice trailers in that range. That's about what my old Jayco is, give or take a few hundred, and I was pulling it with an old 5.7 Suburban with 3.42 gears. I wouldn't have wanted to go in the mountains with that rig, but it did just fine on the rolling hills of the midwest. The 5.3 has more power and torque than the 5.7 although it may run at higher rpm doing the same job.
'01 Burb 2500 4x4 496/4.10 (3.73 effective w/ new tires)
'94 Jayco 300BH