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Is there an app that can turn my Samsung Mesmerize on/off at specific times?
Yeah, this. If there's no connectivity then most apps just wont bother to do anything. With screen off and airplane mode on any android phone should be draining less than 1% per hour, if that.I'm almost positive that if you turn your Android to airplane mode for 3 hours (which tasker can do) it will use less battery than shutting down and having to reboot the phone.
I'm willing to bet that Blackberry's form of "shut down" was very similar to airplane mode on some level.
If you're doing it to conserve battery, my vote would be Tasker, with a profile set up to go into airplane mode and turn off all background data.
Not quite on/off, but you can use an app like Timeriffic (free!) https://market.android.com/details?id=com.alfray.timeriffic to automatically turn on & off airplane mode at specific hours. If you turn on airplane mode & silent mode at night, then turn off airplane & silent in the morning, it's almost as good as a full off/on.