Well the new Cowboy's Stadium is in Arlington and the only place I can think of that might be reasonably close is Bodacious BBQ
1206 E Division St
Arlington, TX 76011
It's been a few years since I've eaten there, but they were pretty good if not a bit pricey.
If you find yourself just north on DFW Airport in Grapevine, check out either of these two,
Bartley's BBQ. We used to eat here often when I worked at DFW Airport. Good ribs!
413 E. Northwest Hwy, Grapevine, Txhttp://www.bartleysbbq.com
Or, if your near the Bass Pro Shops in Grapevine, check out the Hard Eight BBQ. (Technically in Coppell, but right down the road from Bass Pro) Just be sure to hit it at a busy time so the meat is not sitting on the holding pit for too long...http://hardeightbbq.com/
688 Freeport Parkway, Coppell, Tx.