Schedule Jenkins Job with Active choice Reactive parameters and Reactive reference parameters
Although I haven't tried using the Parameterized Scheduler in particular, I don't think you will be able to use this plugin to trigger a build with Active Choice parameters - most plugins don't support passing Active Choice parameters to builds.  There is currently an open bug report on this issue.

As for a workaround - I have been able to successfully trigger builds with Active Choice parameters using the HTTP REST API /build endpoint (a bit counterintuitively, NOT /buildWithParameters).  So for instance you could have a second job that runs on a schedule and does nothing but hit the API endpoint to trigger the job and pass parameters, or you could have a plain Unix cronjob that hits the endpoint, or something else along those lines.