You can write a Rule to touch the .items file and I think that will cause Astro to reschedule the events. If not you could define your Astro Things in a .things file and touch that which I know will cause the events to be rescheduled.
You can create your own Timers based on the Astro Action and use a System started/cron triggered Rule to create your own Timers instead of relying on Astro.
Those are the only ideas I have beyond restarting the binding.