Not to put a damper on the parade, but have you thought about the mice?
They love insulation and tear through it as much as possible, that pink stuff is comfy for them. The wires will hold it up, but installing some scrap plywood or other stuff you find will help . I know it is a lot of work, but you get to think about it. DO not use plastic, it is a vapor barrier and would be in the wrong spot.
Dont forget this is a crawl space, you only want to do this once.