I take it you are single? Because you only mention "me,myself and I".
Soooo, if that is the case. Tell your family you have a hot date on Thanksgiving.
They don't have to know it is with Mr. Netflix :)
Then..you will be the saucy topic of conversation all through their Turkey dinner and they will be anticipating meeting your special someone soon.
Let us know what Mr. Netflix entertained you with all day on Turkey Day...I am looking for some good fliks to put in my queue.
But..seriously. I would just say that I'm exhausted and need a day to rest. Nothing wrong with simply being honest. I wouldn't be offended if a family member was simply honest. It is when they come up with constant excuses at every turn, but then go somewhere else that really irks me.