I say Jimenez because he is arguably the best reliever on the team right now, and contending teams need help right now.
Maybe the chatter about lack of interest in Jimenez is gamesmanship to get Avila to give up Joe cheap, although all you really have to do to get Al to cave is push him to the brink of the deadline. Joe is due for a nice raise next year, probably mid-seven figures, and Baby Doc probably won't want to have to pay him that since he is already paying too many people too much money next year, so I could see Joe going at 5:59pm for a controllable guy who was a numbered prospect once but whose career has stalled in the high minors, and 50/50 as to whether it's a position player or a pitcher.