Thanks for the method in OP, it works great. Just replaced both lowers with Moog "Problem Solver" units, and it was easy to get them in without any special tricks.
For the uppers I just replaced both UCA assemblies with complete UCAs from OReilly, which had new bushings and joint. I eliminated the adjustable arm from the right hand side.
Also replaced both tie rod ends.
Make sure to maintain alignment cam positions on the UCA bolts. I marked the topmost visible portion with a auto center punch, so that I could easily keep their original position when reinstalling. Also make sure that the alignment cam plates don't get hung up on the two small bumps in the UCA mounts on the frame - these bumps are supposed to "hold" the alignment plates in place, but it's easy to install the plates so that they're not contained properly by these bumps.
Result = smooth, tight ride, no more bad ball joint squealing.