A local special interest car company bought a 1931 Coupe a few years ago with the same problems the poster described. I was called to reduce the play at the steering wheel. No amount of adjusting or tightening solved the problem, although some slop was eliminated. After doing everything I could think of, I pulled the light switch rod up a couple inches - and there was the problem. Some moron had broken off the threads around the top of the steering shaft and had merely glued the steering wheel over the shaft. There was no nut securing the steering wheel to the shaft because there were no threads left for the nut! Had a driver pulled up on the steering wheel too hard, the steering wheel would have left the shaft. The only thing keeping the steering wheel on the shaft was the incorrect size woodruff key and the fact that the light switch rod was anchored at the bottom of the steering column by the half-moon keeper. Once the light switch rod was up a couple inches, I could turn the steering wheel on the shaft back and forth without the shaft also turning until a four-inch slack was taken up and the woodruff wedge caught the steering wheel and allowed the shaft to finally turn. The only cure available to us was to replace the steering shaft.
Have someone move the steering wheel back and forth while you watch the pitman arm. If it doesn't move commensurately with the steering wheel, there may be a problem beneath the steering wheel, such as a loose or missing steering wheel nut, incorrect or undersized woodruff wedge, or stripped threads along the top of the steering shaft. It sounds as though you've covered all other bases, as long as you made the two-tooth adjustments properly.
Marshall