It isn't a problem that needs to be addressed that way, though. The map is already in good shape assuming it is the right size, more than half of the ships probably do not have a problem with a ship on the map edge. The ones that do have a problem with it can easily be altered so that they have a way of dealing with it. Health does not regenerate, making this actually very easy to eliminate in this scenario.
The Scyrve "inter system warp" I suggested fixes more problems with that ship than just the map edge thing. That is, I am assuming, supposed to be "the big scary evil ship" like the Ur Quan of this game. It isn't, the way it stands now. Most of the faster ships will just humiliate it. But if it jumps on any ship that separates for too long... with that big powerful Vux gun... Now it is "relentless". You are just forced to fight it. There is no escape, and if you try to escape it just makes things worse when it jumps on you. Of course, health does not regenerate... so it is not too powerful, but "scary and relentless" like you want that particular ship to be.
With the Scyrve and Dan Noth already not having a problem with a ship on the map edge, there are probably only a few ships left that need a change to fix the problem for real. Does anyone think a timer is a good idea on it's own, when it is not needed other than because you think it is a cool idea in itself? Because that is the situation, this problem is elementary stuff and is easy to deal with in a real way so that the problem doesn't even exist anymore.