I would try a newer version of the kernel: https://trisquel.info/en/wiki/update-linux-libre-kernel

Have you tried opening a text session with Ctrl+Alt+F1 when the problem occurs? If it works, you could log into it and execute the following command to restart the graphical session:
$ sudo restart lightdm

I assume here you use the default display manager. If you use another (e.g., GDM) then replace "lightdm" accordingly.

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