Have the dealer deliver it. For you to tow it your self, you're looking at $400-$500 min to get a brake controller and WD hitch for a single tow.
I'm not even considering if your avalanche is equip to tow the weight of a BHBE...initial dry weight is one thing, I'm more concerned if you actually need to tow after the fact for service. IMO I'd negotiate the dealer towing the TT and setting it up on your property, then if you do need to get service check into having that performed on site by the Dealer's Tech or a mobile service. Jayco will approve other techs to provide service, doesn't have to be the dealer.
2007 Chevy Duramax LMM/Allison
2012 Jay Flight 29QBH
2012 Jay Flight 26BH (Sold)