> Is it feasible to eradicate a virus without vaccines?
It is possible? I would say yes. But feasible... I think not. Consider this, once vaccinated, a person is usually immune to the virus. And you only need the vaccine to take hold, for an individual to acquire life time immunity. However with drug treatment... even once the treatment succeeds, the person can be reinfected. And you will have come back with drug treatment again.
Given the difficult in vaccination campaigns (ie polio) to eradicate the last reserved of a virus... I think a similar drug based campaign would a lot more difficult. There is no herd immunity to prevent the virus from reinfecting the wider population when it leaves its strong holds.