Scheduler for Preload

Is there a way to set the Preload using a scheduler similar to the one that is available for scheduling garbage collection?

Preloading all of a site takes time, and the time for the next preload is set to start xxxx amount of minutes after the last one finished. Sometimes it takes longer than other times to complete. If I set it to preload – for example – every 1440 minutes, the start time will creep up a little bit each day. What started in the middle of the night, for example, will eventually end up running in mid-morning sometime.

It would be great if I had the option to run the preloading every day or every week starting at a particular time instead.

Is this currently possible? If not, is there any chance that this functionality might be added to a future version of WP Super Cache?