I don't currently live in Lubbock - but I grew up there, still have family there, and visit. Many of my family members work at hospitals in Lubbock. - some as RN's. There are /were 3 big hospitals in Lubbock - I believe two of the Hospitals merged to form Covenant Hospital. At any rate, you will definitely be able to find work as a Nurse, and have lots of options.
Also, there is a minimum security prison on the edge of town (between Lubbock & Post), and several Children's Homes, State Hospital, Mental Retardation Homes, Psych Hospitals, LTC, etc.
Texas Tech University has a Nursing program and this is probably the one you're looking into. But just in case you need to look into other schools - Lubbock Christian University, and South Plains Junior College(campus in Lubbock & Levelland) are also in the area.
Good Luck & God Bless!