Do you have a degree in clinical informatics or any certifications? If you don't have CI experience, you really need to get some formal credentials. On-the-job training may open the door for you in your own organization, but doesn't help if you are looking for a similar job elsewhere.
You should check out CHRISTUS Health. They are in the process of relocating most corporate services to the DFW area and I think they will need to hire some clinical informatics positions. Also, if you're free to travel, you may want to check out some EMR companies (MediTech, EPIC, Cerner, etc).