You are ather far away from most of the cool areas. Generally speaking the best places are in the downtowns of both Dallas & Fort Worth (which are both a decent drive away).
AG is correct that the West End is a great suggestion. Its like most other urban renewals with lots of cool, trendy and chain restaurants with some nice atomsphere particularly in the evenings.
I thoroughly enjoy heading over to Fort Worth. If you haven't been the Stockyards, it will give the true Old West feel most still associate with Texas.
As far as dining is concerned, you might as well eat what the locals eat ... barbecue & TexMex. I believe there is a Pappasitos right by your hotel (its been awhile since I have stayed there ... I usually fly in & out). As far as BBQ us concerned, there is a location in Fort Worth that everybody swears by that escapes me right now. Just ask the desk what the name of the famous BBQ joint in Fort Worth is called and they'll tell you. I've been there and its legit even though its not on par with Central Texas BBQ (the barbecue center of the universe).
If you are looking to kill some time in the evenings, try Deep Ellum.
If you like Chipotle, there is a better version based in Texas called
Freebirds that I HIGHLY recommend. I believe there is a location close to DFW.
If you see something you have a question about, just post it here. Keep in mind this is probably the hottest week of the year in Texas. So dress accordingly.