beyond the wide world's end

You can't search by arrival date/time because it's the airlines. They'll tell you when they've scheduled your cavity search for, but they're not willing to guarantee you'll arrive on a certain date, or possibly at all.

Though, personally, I've always had good experiences with the airlines, even when they mess up (direct flight that arrives earlier for the price of a non-direct flight? Heck, yes, I'll take it).