I’ve been using fedora on a surface go 3 and it’s been a good experience - auto rotate works and osk mostly works. In general Gnome seems to be the best DE for touchscreens, especially if you use it in tablet mode a lot. You’re gonna at least want something up to date and probably using Wayland, so I wouldn’t go with mint.
One option is to use something like Fedora or Arch for both PCs, but use a different desktop environment (gnome on the 2-in-1, kde on the desktop).