I saw Red Green handle something like this situation:
Drain plug on his truck was rounded off, so he pried out the engine, with some difficulty, took off the oil fill cap and flipped over the engine to get the oil out.
All you need is some rope, a tree, some pulleys and some real dumb neighbor kids. With scoot hanging by its tires, remove drain cap and toss the screen in.
You're welcome.
Take pix please....
Stig