You should preferably not use a computer you don't have complete control over for sensitive stuff at all. Even with two-factor authentication, a computer you don't control can still store the emails you access, etc. etc.

It's email, people. You won't die if you don't check it for three hours. And if you do... well, then you should probably've brought your own laptop (although that may make system administrators sad).

See #4.

Perhaps a suggested approach might be to only log in from a USB linux boot drive?

Again, these aren't for the most extremely cautious/savvy users out there, just the 99.9%.

I was just about to add that.