Whoa, turns out there's a way to backup your Authy TOTP secrets to import elsewhere. Involves installing the Chrome Authy app and pasting some JavaScript code into the app's browser console which is where the secrets are then printed.

Followed these instructions up until pasting the code:

https://gist.github.com/gboudreau/94bb0c11a6209c82418d01a59d958c93#ok-thats-nice-but-i-want-to-get-rid-of-authy-now

The Gist code is outdated but this comment thankfully has working code that conveniently prints the QR codes out in the browser console.

https://gist.github.com/gboudreau/94bb0c11a6209c82418d01a59d958c93#gistcomment-2224133