Hello Keith & Keith
Another Keith, (Keith Shaw) who Is a pioneer & innovator for electric power systems in RC models has direct experience with tandem propellers. He built a Bugatti 100 and experimented with different gearboxes and props. He told me that the best solution was two motors (no gearbox) and tweaking the RPM until you get the same watt load on each motor.
Second here's a link to a NACA Technical Report on Tandem Propellers, dated 1-August 1937(!!!)
https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20090014144.pdfSkipping to the chase, the conclusions of the report were:
"Those tests have shown that identical, counter rotating, 2-blade, close-spaced, tandem propellers, adjusted in pitch to absorb equal power at maximum efficiency, have from 0.5 percent to 4 percent greater efficiency than that of 4-blade propellers of the same blade form and designed to absorb the same total power. (put another way, the correct diameter for the 2-blade tandem props is the same as a 4-blade prop that replaces a 2-blade, or about
81% 84% of 2 blade diameter)
Tandem propellers are inferior in efficiency to single 2-blade propellers for pitch settings at 0.75 R of less than 350. For higher pitch settings, the tandem propellers have an appreciable advantage.
Tandem propellers absorb from 3 percent to 9 percent more power than 4-blade propellers and about twice the power of 2-blade propellers of equal diameter."
Hey Keith R, what you need is a super special version of your excellent timer that will let you set the RPM on one prop, then senses the current load and sets the RPM of the second prop to be the same current load. NO PROBLEM (sez the guy who ain't gonna be doing it..!)