Personally, I never had a problem receiving in blood like you described as long as it met all the requirements that we required from out supplier. On the other hand I knew facilities that would discard any and all blood that was received from outside with out any thought. I considered this a dreadful waste of a precious resource! Just curious but did the blood have any of the temperature monitors attached to the units? If so, that could help you make the decision.
Having said all that, I have been out of the world for a while and many things have changed since I was intimately involved in the art of transfusion medicine so there may be some new regulations that can provide guidance for this well beyond my opinions. I look forward to read what others have to say on the subject.