The Shieldhall speech is generally seen as an intention to rouse the wildlings and call for an attack on Winterfell. Of course, perhaps it was just immaturity or an emotional overreaction on Jon's part to the taunts and threats made by the author of the PL whom he believed to be Ramsay, but I'm not convinced by that given how Jon's character had been developed up to that point. Compared to where Jon was before, if the letter were true, (f)Arya was actually free from Ramsay, so a search party was
Based on our discussion so far and the text, I guess this is what we can say about Jon's Plan:
1. Jon has come to a major decision about what feels right to him, even if it means breaking his vows, even if it is 'treason''. After reading the PL and when Tormund asks him what he means to do, Jon thinks about each of his siblings, he thinks about Maester Aemon's words about killing the boy and becoming a man, he says to himself Ygritte's words "You know nothing, Jon Snow" and he thinks