Twister/Ableton - banks of knobs controlling different parameters for every song

Twister/Ableton - banks of knobs controlling different parameters for every song

Hi guys, I use MF twister as a handy controller for my fx (mostly inserts) on live shows with my band. I use it along wyth my Nord Lead 2, Moog Slim Phatty and Ableton Push.

Regularly we play 11-13 songs for a gig. In each songs I need to control different insert fx, synth parameters etc on the go. What I would like to achieve is that in every song my twister changes its bank (dummy clips sending midi messages?) so the propper mappings are loaded for each song.
But twister has only four banks, which is a bit few for 11 songs.

Is there any workaround for it?
Thanks for any advice.