workflow actions on Financial object

Is integration event an action that is available for Workflows on the Financial Account object (financial vertical object)?

If not is there any way to send it to a queue or have an external application query the complete data set on the object?

Basically I have repurposed the object and use it for customer error count and rollups.

I have multiple records created and linked to the same account.

Based on certain rules I want a total count of the records for that Account and display it on the Account page in a field.

I know I can do a report and show the summary/count, but I need it on a field because I need to trigger a workflow based on the field value and whenever it changes.