On Brian Selvy's request I installed the TestRail JIRA integration as we are evaluating for various verification purposes. This introduced a TestRail panel to all tickets on our JIRA system.
After deploying a TestRails test instance (lsst.testrails.net) I was able to configure the JIRA integration to restrict itself to only tickets in the LOPS (Brian's test) project.
PS. I only specced 5 users for the TestRails server as this is only an evaluation at this point.