Denying Fuel to the Fire (Score 1)

While I freely admit that I'm not an expert on the subject of HIV/AIDS, I'd like to throw out an idea for an alternate treatment for HIV. Please let me know any reasons would (or would not) work. From what little I know, the HIV virus attacks Helper T (CD4+) lymphocytes, destroying them directly through the virus' replication process, and indirectly by CD8 cytotoxic lymphocytes (Killer T-Cells) attacking infected cells. If this is the case, would it be possible to engineer a drug cocktail that would temporarily suppress the production of CD4+ lymphocytes, thus denying the virus any method for replication? At that point, wouldn't the body begin to filter out and purge/excrete the now-inert viral bodies? After a sufficient purging period, cease the "T-suppresion" cocktail. Once off the suppressors, normal drug regimens for HIV/AIDS should be sufficient to bring the patient's immune system back online. I realize the patient would pretty much reduced to a "boy-in-the-bubble" state during treatment, and that the cost of treatment would be insanely high, but is the concept sound? Would denying the HIV "fire" it's fuel work, or does the virus have a mechanism for lingering in the body on a long term basis, even after it is unable to replicate further? I know that there are probably about a million medical facts that prove this concept fatally flawed, but I'd love to hear the reasons why. It might give many of us a better insight into precisely *how* HIV invades and affects the body.