Hep B virus integrates with liver cells. Finding virus in blood is just a byproduct.
Please see the following link (SteveNYer's response):
http://www.medhelp.org/posts/Hepatitis-B/Virus-cleanup/show/999818?personal_page_id=593801
I think draining some blood periodically would be much easier. The level of HBV DNA should decrease (the viruses from the drained blood, would not infect other cells and would not replicate), also the level of HBsAG should decrease also, of course the virus should be pretty inactive.
Anyway, I do not know if a chronic carrier develops antiHBS, even if it would, the level of HBsAG is very high (probably over 1000IU/ml, as I read on the net), and the antiHBS would not be detectable.
This thread might interest you:
http://www.medhelp.org/posts/Hepatitis-B/Proposal-for-treating-Chronic-Hep-B/show/1000574?personal_page_id=496322&post_id=post_4664859
Given that the liver grows itself anew even if large portions of it are hacked off, it is equally plausible to hack off portions of the liver itself. The idea is that the newly grown portions of the liver might not be infested with the virus if we are on strong anti-virals during this entire process.