Instrument Doubling in Big Band Scores

I'm writing a piece for jazz band and the Alto saxes double flute and the Baritone Sax doubles bass clarinet. I am aware that musescore has a 'Change Instrument' feature that alters playback. However I can't manage to get the transposition/key signatures to fix. eg. When changing from flute to alto sax, the key signature isn't updated, and when I try to fix the key signatures it updates the key signature for the entire staff.

Are there any workarounds to this? I have heard that making multiple staves and hiding empty staves, but it would be such a hassle and it would remove all the other empty staves in the score.

Any help is appreciated, and if there isn't a good way to do this, it should definitely be considered to be a new feature/update.