On the topic of the OP:
I read a conservative wonk put it this way. He espoused using a similar trick to what got it enacted in the first place. The House would send a budget bill to the Senate. During the reconciliation process the Senate would take on a one line amendment: "The Patient Protection and Afforable Care Act of 2010 is hereby repealed." The Senate Dems would invoke the Byrd Rule (I don't know what that is exactly, but I surmise it's a parliamentary objection to a policy amendment being attached to a budget bill or something). The Senate Parliamentarian would rule against the amendment, which would trigger some other parliamentary rule permitting the Senate Repubs to declare that all amendments pertaining specifically to the ACA require a simple majority to pass. They would then be filibuster-proof.
The Senate would repeal the ACA in a filibuster-proof amendment and force the President to veto it. Then the Majority Leader and Speaker would call him out on the veto. They would then start proposing repeals of specific sections of the ACA, forcing Senate Dems to make public (and damaging) votes to either repeal or be labeled obstructionist. The ultimate goal is either get parts repealed, like the individual mandate, or make enough Dems vote against repeal that you pick up seats in '16 for a veto-proof majority.
Not saying I espouse this strategy, or that I even understand it, but that's what I read.