Clamp the hoses with wooden blocks.  That will eliminate the need to
bleed.  Not need for speed . . .
I take it you have a new core.  Don't try to rebuild the old one.  They are
pretty flimsy to begin with, and once the corrosion starts, it will super
thin in one place here, one place there, and you will be forever
"rebuilding" it.  At least, that's my view.
All said, its a simple operation and you can do this easily with no
murphy's mishaps or screw ups.
go forth Sir James and commence wrenching
hk