FOIA does not apply outside government entities. Maybe you can get the data from the entity itself, but good luck.

Which is one of many reasons why privatizing government services probably isn't a good idea.

You could also make different laws but that's probably not going to happen. Think about just about any of the important laws that we rely on for a stable and just society in the USA, and consider that most or all of them would be politically unviable if they didn't already exist. Including FOIA itself. Not a good situation.