Coming in at about 5K# dry and 6K# GVWR it will be difficult for the 03 Suburban 1500 to not know it's there, but it should do the job adequately with a high quality WD/SC hitch. Equalizer, Reese Dual-Cam, or the high-end Propride or Hensley hitches will do the job nicely, unfortunately you will still feel the TT behind you.
Been researching TTs as well lately and Primetime appears to have well made units that offer a lot of nice features for the price point. Have seen a few of their higher-end Lacrosse TTs at a local dealer and they do impress with features commonly found on nice fifth wheels. The Tracer Air 250 does have a nice layout and space is well utilized, best to not go much heavier or longer with your current TV.