David, I have the exact same problem. I had to bring Gina in the other day, and after an hour and a half of trying to get her in the carrier, I had to cancel the vet and reschedule for the next day.

Turning the carrier over with the door facing up is a good idea. Gina will run and hide under things when I try to put her in, so I blocked off the bottom of my bed and everything else that she could hide under. The first time, she got through anyway The next day, I had to get some human help to get her in