Thanks to Jenny for emailing this recommendation:
I went to Chuy’s today- one of my favorite restaurants. I have not been there since the new non dairy diet. They actually have a special non dairy menu. That was awesome- I did not have to worry if something was cooked in butter. I know they have locations in Texas- Houston & Austin.
Chuy’s had a dairy free menu, easy to read and readily available when I asked, that also provides dairy-free sauces so that you can customize your order. Very accommodating.
Their non-dairy menu doesn’t appear to be online, but you can find a location on their website (see below) and check it out for yourself: