Not someone you know, I just randomly came accross, the picture catched my eye. ^^
Hmm, ideas... When you die, even if you would start back with the map you discovered, there will still be more unknown area to discover, and discovering is still dangerous. I already find how to handle the monster by turning around a rectangle at the start anyway, but you don't go further when you do that. Exploring is still what you have to do and is still dangerous
Eventually, to put some pressure on what you control, the map you would keep after dying would slowly fade, that way you can't just die and retry to show slowly bit by bit the map. Like, let's say a white wall you have discovered three death ago will finally disappear?
It's just an idea, maybe it won't work. ^^" Sorry for my english.
Also I see you got a 1 star rating. I think it deserve more rating so I will put a 5 star to balance. I feel work and passion in this little game. :)
Edit: another idea while I was closing the tab, what about a light checkpoint? Not that you respawn a it like traditional checkpoint, but just some kind of landmark in the dark void. It would also add some feeling of progress maybe.