Henry - for the arms you use that have detachable headshells, surely if you use a headshell that has slots, hence the ability to alter the overhang and alignment, then you can set each cartridge up and the only changeover issues would be tracking weight and VTA. I use to build easy VTA adjusters by tapping a metal block and using a fine thread screw to put under the arm lift. If you recorded the optimum for each cartridge/arm then it becomes easy to adjust.
Failing all this - buy 2 more TT's & enough arms and you can at least get 24 of your cartridges running simultaneously.
Failing all this - buy 2 more TT's & enough arms and you can at least get 24 of your cartridges running simultaneously.