Wow, I can't believe I didn't report back on this.
Sure thought I did, I took pics and everything.
BLUF: I ended up re-routing the lines.
When from the basement, up to the attic, over and across and back down inside the walls.
Got the drop-line hook tool
@Ron suggested - worth every penny. Found a spot where I could run 4 PEX lines from the basement all the way up to the attic. That in itself was a chore, finding a spot between 2 joints where I knew there was nothing in the wall AND it was within reasonable access of the existing water lines... got really lucky on where a wall is. The tricky part was measuring perfectly so when I drilled a hole in the floor plate up from the basement, and top plate down from the attic, they lined up, but since I'm a measurement ninja, 3 of the 4 holes were dead on (dropped the bob through the top hole and it literally fell through the bottom), 4th off by 1/2" (damnit) but the magnet found it quickly. Used the chain to pull down a string, used the string to pull up the PEX. Having a 12 y/o helper there was priceless.
So then once I had the lines up in teh attic, I realized the one for the washer, on an exterior wall, I had no way to really get to the top of teh wall b/c it was down in the eaves, too narrow for my hands, let alone a drill. Fortunately, the section of wall happens to be inside a set of cabinets - which really as shelves with cabinet fronts - so I cut a hole in the drywall up near the ceiling, drilled the holes up from there. BTW a 90 deg drill chuck is a wonderful thing. Pulled the hoses down then pushed rest of the way through the wall. Again, being an extrior wall I also had to push through all the old R13 insulation.
After that being such a PITA, figured the bathroom fittings would be easy. Turns out when I removed the medicine cabinet (and on-wall style) there was a big hole behind it, presumably from a former from a recessed cavity. On one hand, great, b/c this gives me a way to reach in a receive the hoses, on the other, damnit that means yet another set of horizontal plates to line up holes in... out comes the drop tool... oh wait, this wall is for the garage, so it also has insulation, can't drop stuff through it... damnit, had to get a 6' long metal rod, poke around to get behind the insulation, and find my drilled holes in the big cabinet hole, use pole to pull wire back up, use wire to pull pip back down...
And then as luck would have it, that section of wall, behind the sink that not 1, but TWO 2x4s running horizontally, about 5" vertically offset and each facing opposite walls. So I had to very carefully bend/navigate the PEX around those inside the wall to get it through.
Holy crap what a PITA. Anything the least bit less flexible than PEX would have been impossible.
And in the process I learned that bathroom has some kind of old plumbing in it.
The good news is now it would not be a major ordeal for me to add water to my garage, just on the other side of that wall.