Return Report Source Sheets Without Rows?

It seems to be a limitation of the API that if a report has no rows currently populated in it from a given source sheet, the API does not return that source sheet in a query.

Has anyone found a way around this or come up with another solution? It's great to be able to pull source sheets when there are rows coming into a report but our mapping is significantly hindered by the inability to see all source sheets regardless of whether or not rows are currently coming in.