If you think it would be safe, you could always rent a PO Box or a mailbox at a third-party drop off like the UPS Store.

The only real difference there is that the places like the UPS Store give you a street address for places that don't deliver to PO boxes.
I think Fed Ex also runs something like that - and there are true third parties that aren't affiliated with a bigger company - although I think all the UPS Stores now are independent franchises.