Thanks to 69chargeryeehaw and all the other contributors, there is now a very white '64 Valiant parked outside.
Before:
After:
I used Rustoleum Professional (Gloss White) in a gallon can, mineral spirits (after a test with acetone), foam rollers from Ace Hardware, green 3M sanding pads for prep, 800 and 1000 grit for wetsanding with a sponge, water, and a drop of dish soap, recycled spray bottle, masking tape, newspaper, Turtle Wax brand polishing compound, and a fair amount of time.
Lessons learned: I am not very good at body work. I am not very good at painting. Little strokes fell great oaks. This technique works.
The paint has flaws. Runs, some places where the roller method is discernable, and my cruddy bodywork. However, it looks SO MUCH BETTER than it did before. It shines where it hasn't in a decade, and I'm getting compliments on it every day.
