A loose keyboard/mouse/display on stage is not an option.
If having a Studio and a MacBook on stage is acceptable then surely having a Studio and an integrated monitor, trackpad and keyboard is also acceptable?
There are lots of options, here’s the first search result:
15.6inch Full HD Portable Monitor Built-in Keyboard and Mouse For Raspberry Pi Samsung Dex Macbook Por Laptop PC Sub Display - AliExpress 7
Smarter Shopping, Better Living! Aliexpress.com
m.aliexpress.com
This seems so much simpler, especially if latency is of any concern at all.