I am very familiar with SA nursing schools. The ones you are considering are fully accredited. Be sure to take a look at their NCLEX pass rates also http://www.bon.texas.gov/nursingeduc...R-passrate.pdf
since this is an indicator of the quality of nursing education they provide.
The San Antonio market has many hospitals that are actively pursuing "Magnet" designation - which requires a higher percentage of BSN nurses. So, they are giving preference to BSN grads. Smaller hospitals are still ADN friendly. You may also want to investigate the overall transferability of credits from an AS in nursing as opposed to an ADN. Believe it or not, there is a difference...
Entry to UT HSCSA (my BSN alma mater!) is extremely
competitive. Your choices may actually be determined by which program accepts you rather than any other issue.
Have you looked at Incarnate Word? They are more expensive, but have a smaller class size so more individual attention from instructors so their overall attrition rate is lower.