Any good investigator should be able to write a search warrant for the storage container with a little additional checking. If the suspect is a known burglar that may be all that is needed. If nothing else a good investigator will just do a knock and talk to get in and in most cases will get the stuff back. As for prosecution the knock and talk no, the search warrant yes you will get prosecution. However now in our state a lot of these crimes are now misdemeanors and no one is going to jail. So unless this suspect is a serial burglar then you might get the stuff back but little if no jail time.
Good luck