Ken,
Tom shared with me a program that offers Sex Therapy Certification along with a Ph.D. in Clinical Sexology. They were at the FMHCA conference. Tom said they were accredited. You may want to reach out to him to see if he has anything other information to share with you. I was looking through the FMHCA Conference book and their add says "PHD in Clinical Sexology Approval Pending". Don't know what that means. They are called Modern Sex Therapy Institutes.
Here is the link and the contact information:
https://modernsextherapyinstitutes.com/clinical-sexology-ph-d-program-application/ph-d-in-clinical-sexology-program-calendar/
Contact: Rachel Needle, Psy.D.
There was also an add in the FMHCA Conference brochure for International Institute of Clinical Sexology which advertises "complete your PhD or Individual Certifications" Sex Therapist was listed.
www.TherapyCertificationTraining.org
www.ClinicalSexologyPhD.org
Don't know if they are accredited.
Janice