Question: Do standup paddleboards qualify for a Vessel Safety Check (VSC)? And if so, what about thru a rental agency?
Answer: Yes, stand up paddlecraft qualify for a VSC. From the USCG, "Stand Up Paddleboards are required to carry the same safety equipment as all paddle craft per Federal Regulations."
When doing the VSC, make sure to use Form 7012A.
Here is some reference material for doing a paddle craft VSC:
As far as doing an inspection at a rental agency, as long as they have all the equipment required for the paddlecraft that should be fine.