Something that I dread doing:

[packman]

1. One STRONG bit of advice

wear a mask. If she has allergies, tearing that crap out needs to be approached with caution.
Turn off heat and air returns (if any in room ). Also , tent the room off -that crap is going to go everywhere. Also, I hope there is a window to pitch the crap out of rather than carry it thru another area. Also, if you can fit it in - get a large window type fan and reverse set it so it blows OUT of the room carrying dust and particles out. Finally, when all is ripped out - vacuum, vacuum and then vacuum the room again before installing new insulation. Be aware of vapor barrier if using unfaced insulation battens.
READ some books on this. Not hard. THe true bitch is putting up the drywall over new insulation.

Probably too late now seeing you've bought the insulation, but did you consider letting a pro do the expanding foam insulation which is tighter fitting, fewer problems, and more energy efficient?

Had to laugh at this:
I'm the one who has years of DIY experience, and I'm certain that I'm going to get roped into this nonsensical, unnecessary and miserable job.

Ain't that the truth- .