Good plan. After a few hours soak, remove and maybe scrub with like a nylon brush to remove any loose black Evaporust stuff. I found I needed multiple soaks/treatments for some pitting, as the black surface coating seemed to slow/stop the reaction and it didn't really remove all the rust. I soaked overnight on each tube and found the remaining rust pits when I was done soaking. At that point I just used Naval Jelly in several applications to get the rest off.
If you don't care about color match, I used some black rust reformer primer. I could only find in spray, so I sprayed into a small glass jar to use for brushing on. Seemed to work ok, put on several light coats then sanded after a couple days drying time. Took the sanding like a champ. Then I top coated with some Duplicolor lacquer touch up paint that was a close match, but that stuff already flaked/chipped in spots as others have experienced too.