I don't live in Texas but I am hoping to relocate there so I am sort of following the hiring trend. It seem like Christus Santa Rosa Health system is a good health systenm to work for and they have a hematology/oncology center.
With your experience you should be able to find a job.
Other hospitals include Methodist, Baptist health, Southwest General and I think University or something like that.
p.s Just google hospitals in San Antonio and you will find all the links.