I believe 6500 Lbs is the max towing capacity of your TV.
Your 5er is 4800 empty.
You should be fine if you keep the 5er and stuff in it under the 6500 Lbs.
I am concerned that you could only do 55 MPH leaving Albuquerque. Heading West or North would probably be going up hill from 5500 Ft Elev against the wind which is the issue I had with my 2006 F150 (that has a max towing capacity of 8400, but a gross vehicle weight rating of 14000 and I was near that weight).
Try to operate without water in the holding tank which will cut your weight by 300 lbs or so.
2011 Rockwood Windjammer 2102W
2008 Ram Laramie 3500 Megacab 4x4 Cummins 6.7L Turbo Diesel
(the max loaded 2006 F150 5.4L V8 would only go 55 MPH Westbound on I-80 in Wyoming)