I used a big channel lock and it took forever to loosen it 1/8 turn at a time. I also sprayed a little penetrant into the flange side to ease it up. It'd be nice not to have to do it by dropping the center support bearing. Mine slipped here & there while I was loosening it up. It's not like it's really a nut that requires perfect sides to avoid stripping.
You have some of those mechanic gloves, don't you? I didn't use them for years and now I have no idea why not. I've saved myself hundreds of cuts...now I only worry about crushing/bruising. Speaking of that, the drive shaft is surprisingly awkward & heavy. Take your time.
I'm not sure how you'll get the tranny back far enough to drop it, but I'm no expert...but there might be enough play to pull the tranny, especially if you can get the guibo out first.