The only upgrade path I see via Apple (System Preferences) is Monterey. Can you point me at a Big Sur install?Well, honestly 11.6.1 still contains a lot of bugs you'll encounter regularly if you use it for more than e.g. just some websurfing and messaging.
But they're now more on the minor side of things and don't really tend to mess up your daily digital life anymore.
From my experience, 11.6.1 is surely a lot more stable than the latest Catalina built (which is now the oldest macOS version still supported with security fixes).
And although not directly tested on my machines, I'm very confident it is a lot more stable than the early Monterey releases which still suffer from a huge amount of various bugs - and will doubtlessly stay in such condition for at least some major dot revisions, as can be told from experience with the last three releases.
So - yes, in terms of stability and maturity, Big Sur seems to be the best macOS version currently out there.