Amerisuites DFW North
I recently used Hyatt Gold Passport points for a one night award stay at the Amerisuites DFW North at Grapevine Mills. I checked in the night before my early flight. They allowed me to leave my car in their free parking lot for my planned 7-day vacation. They also offer a free airport shuttle that runs every 30 mins. My vacation ended up being 10 days due to delays caused by Hurricane Wilma. Upon return to DFW, we called for the shuttle and once at the hotel walked directly to our car. The parking was totally free.
I will definitely consider this property for future trips with an early flight departure time as the parking charge you may pay in a lot is very close to a one-night stay total. It's an even better deal for free at only 3,000 Hyatt points!