The bill should be presented to both houses in exactly the same wording and an immediate vote should be required (as was done with the infamous Patriot Act and several years earlier by Phil Gramm who sneaked repeal of the Glass-Steagall act into an unrelated bill at midnight).
Reid should require the Senate vote to be held under 'reconciliation' -- i.e. majority rule -- and should let any argument over that tactic be fought out in the courts.(Senate Rule 22 is just that: a local rule, not part of the Constitution or of any law.)
Because the bill will be identical in both houses it would require no conference but could be sent immediately upon passage to the President for his signature.