I lived in several storage units in different cities in America and highly encourage it. Obviously you need a place that offers 24/7 access to the gate or a perimeter that can be easily breached and accessed any time of the night without raising suspicion. It can be very difficult to pull off in big cities downtown or towns that have a lot of homeless people or migrant workers; the city edges or inner suburbs have better spots. Smaller mom and pop places are more possible than big name high security places. Visit a list of them and really judge the owner/manager on how tolerant they would be to a homeless person. My strategy was usually to straight up tell them I was homeless, working, and camping nearby and needed a place to access my stuff 24/7 every night and morning. Just assure them convincingly that you will not be sleeping in the unit and gauge their reaction, count on a few of them saying no, but keep trying for a good one--if they give you a contract after that, they are probably sympathetic and you wont have trouble. Sometimes you don't even want to admit to that to avoid drawing heat to yourself. NEVER admit to sleeping there because there are strict laws they have to follow about it.
A couple examples: One facility I stayed in despite cameras and automated gates since their fences were easy to breach. I started by entering with my motorbike to park it every night then leaving the automated gate on camera THEN sneaking back in through the many gaps in their fences to sleep in my unit. Eventually when I grew comfortable there I stopped sneaking and blatantly entered and left through the gate every night and morning with no trouble. A different facility I stayed in had a landlord that would ask me if I was sleeping in there every chance she saw me, even hired a security guard that would accuse me when i was on premises at night, so I had to camp out a few nights. He left after a month; I went back to sleeping in there with no trouble and I even came back years later to rent and sleep in the same spot with no harassment from that landlord. The good landlords really dont want to catch you but there are still laws they have to follow and in heavily homeless populated areas they just want to keep the sloppy people out.