My Property Manager owns this space with her husband. A Football Pub (Soccer) Never been there, but looks good on the website.
https://www.bootroomdurham.com/
Yet to go but has rave reviews. The Saltbox
https://www.saltboxseafoodjoint.com/
Not from Texas, but love Texas Style brisket Tri Tip and Ribs.
Don't think Durham or Chapel Hill has this available, though Wake County has a foodtruck Dampf BBQ and the Chain; City BBQ
And this sounds good but have yet to try in search of Texas BBQ style food.
https://www.lawrencebarbecue.com/