1) Use Incognito when using other machines, or
2) Don't trust Google with precious things.
1) Use Incognito when using other machines, or
2) Don't trust Google with precious things.
Still not great, but it's not permanent.
You can also log out other sessions in google apps, not sure if that resets the dont-do-2factor-auth bit though.
Edit: I'm still looking for some kind of documentation for it, but I know this firsthand. I set up two factor authentication several months ago and chrome has not asked for anything other than the password since. I can even go into the two factor settings with only my password, which gives me complete control to make unlimited single-use codes, or authenticate a different phone, or turn the whole thing off.
But more importantly, your threat model is rather urealistic. Why would you trust an infected and keylogged computer to not be able to steal something as unprotected as cookies? You're right that in some kind of situation with a 'pure' keylogger you're safe, but you could get the same level of safety by doing something silly like log in with an on-screen keyboard. I think such a narrow threat model is misleading.