I don't recall anyone from Houston having co-authored any published articles on SCLS -- which would be ideal. However, you can write to Dr. Druey at NIH and ask him if he knows any better and can recommend anyone there.
My generic advice is that you look for a compassionate physician, preferably a senior specialist in internal medicine, immunology, or hematology affiliated with a major university hospital, willing to do his/her homework on this rare disorder (namely, read the literature and follow the advice), and willing to consult with the few SCLS experts available on the topic -- like Dr. Druey.
There are several great hospitals in Houston. For example, the University of Texas Health Science Center is such an academic center, and if you go to their website and look up who's who among the faculty in their Department of Internal Medicine, https://med.uth.edu/internalmedicine/faculty/, you can check out the physicians listed and see who might be a good fit because of what they specialize in (e.g., immune or vascular diseases).
Relevant examples I would consider are https://med.uth.edu/internalmedicine/faculty/rodeo-abrencillo-md/, https://med.uth.edu/internalmedicine/faculty/shervin-assassi-md-ms/, https://med.uth.edu/internalmedicine/faculty/akinsansoye-k-dosekun-bs-mbbs/, or https://med.uth.edu/internalmedicine/faculty/john-d-reveille-md/
At my first encounter, I would hand them a printout of key articles on SCLS found here under Disorder Resources, such as: https://www.jaci-inpractice.org/article/S2213-2198(17)30546-9/fulltext, https://journals.lww.com/ccmjournal/Abstract/2017/07000/The_Clinical_Picture_of_Severe_Systemic.15.aspx and https://www.amjmed.com/action/showPdf?pii=S0002-9343%2817%2930602-2 If you can't access them, let me know via email and I'll email them to you.