I also use Mint/Rebecca with NVidia, but not on a laptop.
But, sorry, I've never heard of drivers capable of overheating a keyboard. Are you saying that your monitor's display intensity is so high that it actually radiates heat? Or are the internal electronics (under the keyboard) overheating? Ensure the laptop has adequate airflow, perhaps even dim your screen settings. Try rolling back to the previous driver version you used, see if the problem persists.
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