First, a quick question....

Are the shower facilities open in the North & South Galleries lounges in T5 at LHR ?

And now some additional information along with a further enquiry....

We shall be arriving into LHR in business class on AA from DFW with a scheduled arrival time at T3 of 6:20 am. We'll then be connecting to a BA flight from T5 to Rome in business class with a scheduled departure time of 9:35 am. Thus, we'll have three hours and 15 minutes to make our connection from T3 to T5.

I would dearly love to take a quick shower before we board our flight to FCO. However, my experience with the Galleries lounges in T5 is they tend to be rather busy. And if the shower facilities are open, perhaps I might have to wait a bit before one becomes available.

Your thoughts and advice are much appreciated.