Ron,
Is your Vette automatic, or manual?
From my experience, with the manual trans it is easier in the long run to pull it with the engine. Once out, lining the clutch up with the flywheel is easier on the floor than under the Vette.
Automatics are another story. The size and weight makes it difficult to get it all out at the same time.
Do like 1979toy suggested and put the Vette up on stands before working on it, because you will need to get under the Vette several times during the pull. Make sure the Vette has a solid footing on the stands so there are no problems. If you are using a cherry picker type of hoist, you will have to pull the hood off in order to pull the motor. An overhead chain hoist may be another story. I have always pulled the hood because I needed more room to work on the motor.
Let us hear how it goes!
Take lots of pics!
Bill