For my use case, I have a tool that monitors resources for all of my customers. When it sends an alert, it always comes from the same email address, no matter what the customer is, rendering setting the organization by email impossible.

So, to have the ticket listed under the proper organization we need to be able to set up a trigger to associate a ticket to an organization by having the requester be an end user (the user I set up with the email address for the generic user), then use the customer name from the subject line, to set the organization for the specific customer.

This is currently not possible because 1) a Requester can be an end user (what?!), and 2) there is no way to set the organization with the current trigger rules.