I think it is a given to feature Ted in puppet like Stewie Griffin form from 05. If more than one of us felt that on our own the chances are good. And yes, it does write itself being a Universal film and Ted being the name already in the show's title.
Also, I am betting they have thought of easily introducing him through a thunder sound effect randomly happening and someone shouting "Where's my thunder buddy?" And those in the audience who know the song can get away with singing all the words, even the vulgar ones.