thats almost the easiest thing to do.
its definitely the easier thing when installing a new frame.
mine for example, im rebuilding front suspension and stuff, getting the wheels on, then dropping the engine and trans onto the frame, and while a friend hold up the rear end of the subframe, we roll it under the car and bolt it in with the engine on it.
but after re reading your post, you want to swap the frame, but you dont want to pull the engine out of the car. and heres how you do it.
go through the frame, make sure EVERY hose is removed from the frame, brakelines, fuel lines, everything. attach your hoist to the engine, lift the hoist until the slack in the chain is gone. and undo the engine mount bolts.
undo the transmission mount bolts, and put a jack stand under the tail section of your tranny. lift it up a bit with a jack first though, and remove the mounting bushing. that way it doesnt grab the tranny and pull it off the stand as you pull the subframe out.
this way, the engine, engine hoses and wiring, all stay connected to the car, and you can just slide out the frame, slide the new one in and re attach everything.
you would need to bleed the brakes again though.