Is there a way to transmit CSV reports automatically on a periodic basis

Alternatively, is there a way to transmit CSV reports automatically on a periodic basis so that the data could be processed elsewhere?  Or are there other post-processing options that would allow us to draw the data from JF, trim the results as needed, and then display ourselves?

We cannot transmit the CSV file to your system automatically, but you can download a CSV file of your submissions at any time from your external system and then make any processing you'd like on the CSV file you've downloaded.

To do that, you can simply set up a CSV report on your form:

https://www.jotform.com/help/103-How-to-Create-a-CSV-Report

Any time you use the link to access your CSV report, it will automatically download a CSV file with all your current submissions on that form. This means that you could periodically fetch your CSV file with your submissions, and any time you do that you would receive all your submissions in the CSV file.