Well, be careful to not publicly share any personal information or reference numbers.

To the OP you need to think of your missing baggage like a missing letter in the postal system. Unless you're a VVVIP you're not going to be able persuade the post office or a courier service to proactively go looking for your bag. But as soon as baggage handler trips up over your bag, assuming they're not snowed under with something else they're going to scan your bag and try and send it on it's way to whatever is logged in worldtracer. As stated above this is reasonably easy if there is a tag still to scan, it's gets a lot harder and slower if the tag has parted company with the bag.

Phoning BA will not expedite any recovery process. Unless you're a VVVIP, in which case you probably already know Sean Doyle's phone number. Help yourself!