Glad to hear you're well on your way to getting this resolved.
And don't feel too badly about missing the poppet in the bucket. Same thing happened to me when I had to work on LOML's Taurus. Removed the power steering pump, hung it on the edge of a bucket and when I put the pump back on and started the car .... no power steering. I did all sorts of wacky things to bleed the system and get it working again. Talked to several people in the repair shops and one of them finally said, "Sounds like the relief in the pressure line is stuck." All I could say was, "What relief? There was no relief in MY line???"
Lo and behold, when I went home and poured the oil outta that bucket .... there was my relief in the bottom of the bucket. :ashamed:
Thankfully LOML only went 2 days w/o her power steering, but she was getting a tad cranky by that time.