The quickest way to get the pup to LA is by commercial airline travel. The transport can be done in a half a day whereas a transport by the general aviation community will take at least all day, if not multiple days.
Please go to the "Commercial AViation Assistance" link on our home page to get started on sending via the commercial airlines. From Denver, I would recommend United or Frontier to Atlanta and then ground transport or to a eastern Texas location and then ground transport. A two leg airline transport would get him closer to final destination.
No, this will not be inexpensive, but it will get the job done quickly and the pup will not be riding in a vehicle or in a crate in a small airplane for several hours/days.
let me know what help you need and I will do all I can....
Sarah Murphy Case
Delta Airlines PIlot