Your problem and your working solution creates some further additional security issues - but you probably guessed that!

Essentially you may mainly log in from anywhere but not using your own devices, presumably either belonging to friends or just public computers? You probably realise that the thought of using an internet cafe/public computer to access your "crown jewels" will give most folks a fit of the vapours

There is a way around it that protects the master password (but not protecting against a screen grab as far as I can see). The way round it is a "one time password" for logging in.
LastPass explains it here:
https://helpdesk.lastpass.com/your-l...ime-passwords/

You could just carry a short list of one time passwords which you could use on any machine not under your own control.

Using a friend's machine would depend on how much you trust them eg are their machines "safe" and not affected by malware/keyloggers etc if you were to log in using your master password ... but if you are going to carry a list anyway just use them here too for added security.

Thats my 2c for now - other than recommending never to conduct some of this stuff from public machines