Schengan loophole?

Hey!
SO I'm working in Denmark as an au pair. In may, my residence permit will be up and I will be free to go. I was getting really excited about going out and traveling after my year here until I found out that I supposedly had to leave the Schengan countries as soon as my permit was through and be gone for 90 days before I could return. WELL this sucks! Lol..just wondering if anyone knows of any sort of loophole to get around the rules so that I would be able to stay and travel after I'm done as an au pair? Not to say that I don't want to go to the non-Schengan areas, because I DO! But there are tons of places within that I also want to visit. So if anyone has any sort of information, I'm open to all ideas! Thanks guys!