I’m a 2 1/2 year long hauler. Had the itching…Mine is self diagnosed based on the research on the internet. Citerizine(Zyrtec +Famotidine (Pepcid) to treat over expressing cytokines which is causing many long haul problems. Histamine is the culprit of the itching.
These are over the counter meds. Cures the problem. Tames the cytokine activity. You will be lucky if you find any doctor that can tell you anything that is beyond trial and error. If you Google the combo for treatment of Covid you can find lots of info doctors haven’t paid enough attention to.