your TT has GVWR of 7500# which translates to a tongue weight of 900#
your escalade has a towing capacity of 7700# and a cargo capacity of 1442#.
at max gross weight, your escalade can tow the trailer with a reserve cargo capacity of 542#. The weight of your WD hitch, your wife, child and all the stuff you want to put in the escalade will quickly use up the rest of that reserve cargo capacity. So be careful.
If your tires/rims are rated for the vehicle max gross weight of 7200#, towing should be fine. for a simple calculation, look at the weight rating on one of your tires and wheels, then mulitiply by 4. if that number equals or exceeds 7200#, then you are fine. for a detailed review, you will have to compare tire/wheel rating to axle ratings for each axle on the escalade.