This is such a cool idea!
Look what the moves are, scan the map for nearby areas to maximizie you coverage of new tiles or at least find a spot that's safe and then get there in time.
The game gets quite franctic and I think for something of a full release there should be some easier modes but this brings the concept across quite well and has a pretty high skill ceiling. I never managed to fill in all spots, my best is 61 which I'm already quite proud of.
The presentation is simple, yet sleek. What I think could be improved are the arrows, maybe make them a bit easier to tell the direction from at a glance.
And some sound effects and music would be cool, too.
But all in all a very cool game, you have done a great job!