Advanced tuning: mapping Keyboard Mappings to Midi messages

I play with various 12-tone non-equal temperaments (either those that come built-in in Pianoteq such as just intonation, well temperament, etc., or my own custom tunings)

These tunings require defining the base tone of the scale.

When selecting them in the menu they come with the default base tone of C, and I can change the base tone by clicking on the +/- buttons in the Keyboard Mapping panel.
But this is inconvenient in live performances.

I would like to be able select the keyboard mapping via MIDI messages from my keyboard controller.

The only method I could find is by saving presets, which can be mapped to MIDI messages such as program changes.
The problem with this method is that it requires saving 12 presets for each tuning I want to use, which is very cumbersome, especially every time I want to make a small change in the tuning and have to re-save its 12 presets.

Is there a simpler and more straightforward method?

TIA,
Dan