Your last sentence is the long pole in the tent. Your DD is the one to research the process and determine USCGA SOP for their cadets for this procedure.
Part of the answer may be in this link. Since there is not a DoD medical center facility in the neighborhood, specialty care is referred to local providers. This is standard for military people under TRICARE Prime who are remote from DoD major medical centers. The military CAC card serves as the insurance card and generally pays 100% for approved care outside MTFs (military treatment facilities).
Clinic/Medical Services Staff The Clinic serves cadets and active duty military personnel including residential students at the Leadership and Development Center It is staffed by Public Health Service officers, Health Service technicians and support personnel. The Clinic provides the following...
www.uscga.edu
No doubt some others will weigh in with factual experience. I suspect there is a local provider who is a long-time referral for this procedure. USCGA will want to minimize time away from school and keep a watchful eye.