If I had HIV(or lyme disease, CFIDS, Fibro or any other supposedly untreatable condition includding recurring herpes)I know what I would do.
I would give myself intravenous ozone injections followed by time in a hyperbaric chamber at 2 - 3.5* atmoshperes twice a day, morning and night. Repeat for 90 days. Get retest. Keep mouth shut(for your safety).
The hyperbaric chamber is an obvious obstacle I would suggest paying an engineer to build one for you.
*The higher the better if self treating use extreme caution - do your research!