How about slowing down the mouse? I think it could help! Not sure what's the best way to do it, but if it's not doable directly - for example - you can move the map in opposite direction y 0.5 of mouse position change?
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Right, the problem with that is that for accessibility purposes, I wanted to let the player configure the speed of the mouse. Although capping the mouse speed might have been a good alternative.
You may have noticed that on the later levels, you need to be more cautious in your approach because things like the wall lasers prevent you from recklessly teleporting around. That's the approach to design that I should have used.