Hey Mark & Lucy
We are west of you in northern N.H.
When we travel, we use the rear seat area of our CC truck to store the Honda 2000 generator and other heavier, bulkier items. From a weight standpoint it is a better place since it puts some of that weight on the front end too.
As others pointed out you probably will be over on GVWR and close if not over on rear axle rating. But front and rear axle ratings are determined by tire weight capacity. On our 2500HD crew, we run Nitto Dura Grapplers that can carry 3970# each (up from the 3300# of the OEM tires).
Bill and Ryan at Truck Camper Warehouse are a good info source, also as was previously mentioned.
Best of luck and WELCOME!
John