Hey Kaci- as midtx said, West Texas is a huge area. You're not going to get a lot of help when you just say you are thinking of coming and what is safe when we don't know what town(s) you are considering. All you are going to get is a lot of begging to come to this city or that city. I would direct you to this link in Infoshare that will give you a better idea of the area you are looking at.
http://www.eccie.net/showthread.php?t=480414
Now if you are only considering Midland/Odessa you will want to be aware that the motel room rates and most everything in general is over inflated due to the oil boom so you will want to plan carefully. M/O can have a lot of NCNS simply because a lot of the oil field workers have work schedules that change often and rapidly. As far as safe places to stay I understand that the motels on the north and west side of town are good in Midland.
If you decide on other cities we can certainly give you additional information.