I think the only interest the Jets have in Beacham is at a reduced cost and as a backup only. I think he is still looking to start, so doubt that he is a possibility to return.
I agree it's doubtful but would still have him at backup if nothing else More pressing issues tho I think are veteran QB,WR and outside CB that hopefully Logan Ryan can fill although alot think he's slot only option Cap space will be tight after addressing these issues and like you say Beachum probably looking at starters money