I recently found out that State Farm writes a seperate policy, not related to your home insurance and they will write personal article policies for non-homeowners.
I could be wrong, but that is what my agent said. It covered more types of losses and did not require any receipts, I just gave them the serial numbers of each item, and they say they cover the replacement value. I have not actually had this type of claim with them, although they just gave me 12,000 dollars for equipment I lost in an electrical event and they never even sent anyone to my home to see/confirm the damaged compressors, pool pump, etc. So I sort of got the impression a smaller claim might go smoothly as well.