Hi Lisa,
@Tony Wong has given a fantastic process for managing data and this is very similar to how Apptio in Australia is providing Managed Services to a number of smaller clients. These are organisations that typically do not have the resources to review and validate the data and outsource this to Apptio to manage.
You might in addition to Tony's suggestions set up a spreadsheet for all of your tables, which you complete on a monthly basis. This would include Table Name, Data Owner, Status, Due Date, Column count, Row Count, Cadence, Required, Data Source, General notes, etc. That way you can easily track the data as it comes in, if it has been validated, who needs to be chased, etc. Save copies of these so you can build up a history of your monthly practice so any new team members can easily see the process. I have attached an example for you - please excuse the formatting as it has been downloaded and exported from the online tool we use, but it should hopefully give you the general idea for setting one up for yourself.
Regards Mark