Though I wouldn't call it a minivan (because it's truck-based), I run a VW EuroVan.

I tow a 1990 Mazda Miata in Spec Miata trim with an open aluminum trailer. Total towed weight is about 2,800 pounds, with about 100 pounds or so of gear inside the van.

The van has a 200 horsepower V6 and handles the load without a problem on the interstates and in the hills around Lime Rock. It's stable and brakes very well.

Mine is the MV model, which has a folding table, two removable jumpseats (which opens up a lot of cargo room), and a rear bench that converts to a bed. The rear bench is also removable. When you remove the rear bench, the cargo volume is massive.

The downside is that the 2003 model year was the last in the United States. You might find a few stragglers at the dealerships, but more than likely you'll have to buy used.