The rectifier works great !
Thanks to David_AVD, IanB, AlfBaz, westfw, and others for your patience and ideas.
I was able to get to the voltage and current I wanted using a Rescton BR31 single-phase bridge rectifier.
The calculations vs. reality was within 8%. In addition I added a 65000µF "smoothing" cap.
That was very cool to see on the scope, but it tacked on 1V. (Why?) I added a 2.5? resistor and bingo.
I spent about 20 minutes with the voltage regulator I bought, but I didn't know what I was doing.
I threw a 2.7? resistor in a loop from out to adj. It passed voltage.... but it was warming up..
I will look into calculation on the adjustment circuit and see if I can make it work.
I switched transformer mfg.'s from Hammond Mfg. to Triad Magnetics.
Hammond was awful. I had a DOA, (no continuity on the primary) which Mouser replaced.
But I sent it to Hammond anyway. They said yes it had a problem, however, "they are all tested at the factory and either Mouser or myself did something."
I also asked for some info on the primary ratios when 120V is applied rather than 115V. They never answered.
Triad Magnetics
on the other hand was amazing. I ordered a couple of their board mounted transformers from Mouser.
Before they arrived I email support and asked the same question about the primaries. I said it was not a commercial application
and that I am a retired hobbyist.
Less than a day later, Jim Mettler, the Engineering Manager, wrote a one page reply with everything I needed to know.
I was amazed. The transformers are compact and run very cool.
Before Smoothing CapAfter Smoothing Cap 6.35V DC and .413A