I’ve had both the Traverse and Buick Enclave as rental cars, and I liked them both. They are the largest unibody SUVs available in that price range, approaching minivans in cargo space. I also found that they handle well for a big vehicle, are comfortable, and quiet.
You should have a mechanic you trust do a prepurchase inspection, not the dealership. This inspection should always be by a neutral party. Both Motorweek and Consumer Reports recommend this, even for Certified Pre Owned (CPO) vehicles. CPO vehicles are 1 to 3 years old, low mileage, and are supposed to receive a dealership inspection of about 100 to 200 items to receive the manufacture CPO designation. Your personal inspection will verify their inspection.