Are you able to use any banking apps? I stopped rooting some time back when that became normal for financial apps, and the ability to monitor/manage account balance from anywhere was hard to give up.
Almost every bank I've seen still allows web based logins.
For my bank I can only use their android/ios 2-factor app or their own physical authenticator, which I also have, but I found out the hard way that it's vulnerable to rain when in a pocket of a backpack. It is impossible to do anything without the 2nd factor auth of course.
I had to switch bank because the only 2FA they had was Android/iOS. No physical authenticator, no SMS, no nothing.
Here basically every bank now requires an app for 2 factor. Even the government is going there.
Generally with much reduced functionality compared to a full app. Can't mobile deposit from the web, and couldn't use a one-time access method to use my bank's ATM without my card (which did only occur once, but it was damn convenient).
Also, one of my banking institutions is a small credit union whose website does not work well on mobile, but has a well functioning android and iOS app.