It's a little too slow to try in any%, but if you don't start the Weird Edsel until after the second real doorbell ring but immediately before the "Oh The Doorbell" cutscene, you can regain control and steal the package in time for Weird Ed to answer the door after "Don't Be A Tuna Head". This will make "Can't You Read The Sign, Now Get Out Of Here" the very last thing that happens before "Congratulations You Won The Game" appears.

He can also accept the package and/or not have as precise timing, like this one. On this one Sandy's dialogue from another cutscene gets mixed up and she talks back to Dr. Fred before Weird Ed collects the package..

This requires the glitch to unlock New Kid, mainly used for the Fred Skip, but takes alot less setting up and routing than the other alternate endings I've devised. Not sure how much variation there'd be in the potential time range if this was a category. The doorbell timing can be influenced but not with much precision as far as I've been able to tell.