The Republican leadership has already agreed with the Democrat leadership to pass yet another continuing resolution covering fiscal 2015 during the lame duck.
The next budget covers fiscal 2016, which starts November 1, 2015 isn't due until October, 2015.
However, while it won't happen as soon as you'd like, your approach is otherwise dead on: under regular order, prepare twelve departmental appropriation bills carefully controlling spending and de-funding whatever is practical.
I know the current continuing resolution expires and has to be renewed during the lame duck, but I have not heard that there is already agreement that the next one will cover the rest of FY 2015. If the Republicans agreed to that, then they have once again ceded the ground without a fight.