Sorry Vyniea, it took me a moment to look up the info.
Check out the thread I've linked to below, there are changes you can make to the .ini file to turn off the compass. I don't think there's a fix more sophisticated than that at the moment, but if you want to keep the compass bar but stop the points of interest showing up on it (or make it so they don't show up until you're quite close) this is the thread to ask about it on.

http://www.gamesas.com/index.php?/topic/1255692-skyrim-pc-ini-and-console-tweaks/