I hope they have a "shopping list" of items to grab for the return to the surface if they don't find the recorders they are searching for on a particular run. With all the travel time going down to the wreck and up to the ship, It would be a shame to waste the opportunity. I would sure like to know the THS position. Recovery of the THS actuator would be key to a lot of questions.
Full nose up trim? Normal cruise range trim? Full nose down trim? The last would be the result of a crew attempt to recover the aircraft-unsuccessfully.