i know you mentioned anti-Chrysler, but as far as a unibody SUV, short wheel base, etc., I have a Jeep Liberty that we've been towing a TT with. Similar specs, 2500lbs dry (listed anyway, the sticker is actually 2900) and 3700lbs gross. I use the e2 WDH, Jeep is 2010, with factory tow package (hitch, wiring, transmission cooler), 3.7L engine, v6. The manual states explicitly a tow rating of 5,000 when properly equipped with WDH.
Has been a pretty good setup, tows nicely, minimal sway. as other's have mentioned, payload limit is the first number we'd bump up against, but with all of our stuff in the TT, we have very little in the TV besides ourselves and our dogs (2 adults and 2 60lb huskies).
not trying to steer you towards chrysler, but just my experiences towing a lighter TT with a shorter SUV. Just got back from 3,300 mile trip, have been around 9,000 miles with this setup the last 2 years.
