Oh! I should share that I’m back with Sanebox. I shared more about it on My thoughts on Hey.com after using it for five months (though @MereCivilian makes a good point about Hey, and which is a fair critique of my use of it now).
Would love to do this, but haven’t ever found a way. I do use Sane’s “Do Not Disturb” feature to limit my checking between 6am-6pm.
Edit: Fixed typo/wording