Instead of using a cronjob you can put the device into sleep and use the RTC to schedule the next wakeup (see [1]). This takes only very little power, as the device is only turned on for mere seconds and sleeps the remaining time.
Some Kindles can easily be jailbroken [1]. I have two jailbroken Kindle 4 devices and they're still great. Both for reading (though you have to sideload books) and as e-ink dashboards [2]. A Kindle 4 can run for ~ 28 days on a single charge, refreshing the screen every hour.