Timeslips Email Bills questions

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We are trying to figure out how to use email bills in Timeslips 2020.  We will have some clients receive emailed bills, and others that will need to have printed, mailed bills.

As I understand the help documentation, email bills are created after bill approval for those clients that have "Send bills via email" checked.  This implies that when I print bills, bills for those receiving email bills are printed.  If I run the bills in one batch, I will need to identify and manually separate out the printed bills for those clients receiving email bills.  Correct?

If I could filter on the :Send bills via email" checkbox, I could run bills in two batches, one for those receiving paper bills and one for those receiving email bills.  I can print to PDF (which I do anyway to keep bill copies for future reference) I could print off the PDF for the paper bill people,l and not print off the PDF for those receiiving email bills.

Under Generate Bills, I couldn't find a filter that would do this.

Is there a way to identify or flag bills that are  emailed so I don't have to manually separate printouts?