A constitutional homeopathist is defined here1 in this New York court case as:
[...] one who uses homeopathic remedies to treat the entire person instead of using homeopathic remedies to treat the diseases.
Although in this case the word is being used to describe the doctor who administers the homeopathic remedies, the definition given there and the meaning asked for by the OP does not preclude words that cover both practitioner and patient.
Aside: The judge appears to have agreed with @HotLicks...
1 General Finding, paragraph 4