6k dry, 7000-7500 pounds loaded TT plus a large family is beyond most half ton payload and receiver limits. That's close to 1000 pounds of loaded TW. As you shop, look for this sticker on every 2006+ vehicle. You'll have to subtract the weight of your family and the left can be loaded TW as long as it is under the receiver rating.
Are you open to passenger vans? They are relatively inexpensive especially used. A GM 2500/3500 with 6.0L/3.42 axle will have more power, similar fuel economy to the Expy. And it will comfortably handle 8000 pound dry Travel trailers. If you are already open to 3/4+ ton TV, then you have far more options of TTs. The $20-25k 30-36' BH TT market is crowed with carious types, features, conveniences, and luxuries. I.e., the Whitehawk is not high on my list for the $.
Otherwise, we love our 3/4 ton Suburban. 2008+ are mechanically the same. They are rare as the economy was down in 2007-2010 and production dropped. But they all come with the required equipment for towing vs. the half tons which often have poor gearing and trans cooling which can also be a pain to find the right ones.
