One death is enough for Jon. Or two, if he expires nobly at the climax. It would be cheesy, and bad writing, to keep killing and resurrecting him. It's one thing to do that for a secondary character like Lord Beric. It's another thing entirely to do it with a principal.
In Lord Beric's case, the narrative function of the repeat resurrections was to establish that bit of magic in readers' and viewers' minds so that they'll buy into it when Jon comes back. The precedent is important. But it would kill the dramatic tension if a lead character simply keeps coming back.
Since the show has basically reached the end of the books, I’m just speculating they are going to incorporate the red priest angle with Lord Beric, but using Jon Snow instead. I wonder if they will resurrect Catelyn Stark?
I also noticed they are starting the story line about the Iron Islands.