I never like those type of games either. When I give a gift I put lots of thought into and try to find out everything I can about whom will receive my gift. I like giving that I want the receiver to really love what they received. So I'm not good at all at those type of games. I personally would bow out and just go to be with everyone. Bake some cookies and take those. Do a cookie exchange or ornament exchange. I also like what a lot of the advice the ladies gave you.
Whatever you decide have a Happy Holidays and smile.