I dont know about any in NRH but we used Play Time Hourly Childcare in keller when are daughter was under a year as well as Adventure Child Care in Southlake (only once) better for the older kids but have very good safety precautions!!! Which is why we now use them. I like both and never had any problems with them.
We also have no family up here...my husband works nights (7 days a week) as well and I am a SAHM now. But there are times that I need to get things done and dont have a daytime babysitter. We chose to do Mothers Day Out program which I found a great one in North Richland Hills (The Life Church). She goes every Tues and Thur from 9 to 2 and runs $170 a month. This allows me to go to doctors apts with out her and get thing done like shopping and cleaning and even just time to myself. It has been a GOD send...this might be an option for your husband and you.