Fwiw even if you switch SIM cards the chase app should still be fully functional on your phone unless you actively log out. I think I was also recently given the option to approve a login on an unrecognized device by having them send a notification to the Chase app on my phone and approving it there.

Hopefully they will add support for app-generated authenticator codes at some point, though the banking industry is pretty behind the curve on that front so I’m not holding my breath.