Frederic Louis Godet argues that the "me" in John 14:14 seems to be an "absolutely impossible" reading since it makes little sense to ask Jesus something in his own name. Compare John 15:16; 16:23-24. This commentator also insists that Tischendorf, Weiss and Westcott defend the indefensible when they argue for the genuineness of the reading "me."
See Godet's Commentary on the Gospel of John, With an Historical and Critical Introduction (page 154). It is available on Google Books for free.