I tried this route and had some extra parts that translated as "the next time I will do it the same as me" which I should have used as a clue to the correct sentence. If you're going to do it the same as you then you may as well do it yourself right?
Fred, Yo mismo would be the subject of the sentence. The following may not be the best example but... Él me lo dio a mi mismo. He gave it to me myself, i.e. not to anyone else. a mi mismo = indirect object. Anyone else with a better example?