Other than in Downtown Dallas or Fort Worth (and some of the name brands first line properties in North Dallas), free parking's the rule. Even "big" hotels like the Anatole have free surface "self-park".

You might want to check the Irving/Las Colinas area,not that far from the Ballpark in Arlington, but Arlington itself is hotel-laden. The Sheraton's no luxury item, and I haven't been in the Hilton in forever, but I wouldn't be surprised if one or both didn't have a ball game shuttle of some sort.

Much depends on what you want/plan to pay. I wouldn't hesitate to use Priceline. The entire DFW market is over-hoteled at the moment.