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Why wouldn't you pull the crossmember? It's only 3 bolts on a side. Plus, there's a bracket on the tranny that folds over the crossmember, and you have very little room to maneuver if you don't drop the crossmember.
And yes, you can pull the engine and tranny as one unit. I'd recommend getting an adjustable crank-type load leveler to do it, though. You'll need to change the angle of the assembly several times as you guide it out. Been there, done that, wished I had the load leveler.