I don't mind layovers between connecting flights much. If they're long enough I can have a little visit of the connecting city. Short of that, I find spending time in an airport more comfortable than time spent on the plane. And I can do work if I'm stuck in an airport. I also like to try to fly the shortest route for environmental reasons, instead of adding extra legs.
So I'm less concerned about total travel time and more interested in how much time will be spent in the plane. Is there a flight search that will allow me to filter or sort results based on the total scheduled flight time instead of the scheduled flight time plus layovers?