In this case, I suggest you go over personally to the QPost main office at Conrniche and talk to them about the parcel. You may need to leave all the details of the parcel such as name of sender, your name and contact details including your mobile number with them. They may contact you then once the parcel arrives in Doha.
Having said that, it is somewhat unusual for someone to dispatch a parcel by post without the recipient's complete address.