Direct to LAX would have to be someone that hubs in LAX.  Delta has a hub there, I know you can direct from LA to CMH.  Not sure if that flight continues to ATL though.  Kayak.com says Alaska does it, I think it must be a code share with someone else.   
Honestly, going via ORD, DEN, HOU, or ATL isn't that bad.  Considering the 120 flights I have made this year, I am never bothered by a connection.