That's too much! My sister, lives in another state from me, has them by the dozens also. I would just love to have one. Even though it can be discouraging, like you, I won't be giving up. I have to make sure I visit my sister at that time of year. I have only seen one. I'd be thrilled to see them in action at the feeders.
I lived in New Mexico for several years and had so many I was going through a gallon of sugar water a week.
They wouldn't even wait for the feeder to be hung up! As soon as I walked out the door, they would try to feed while I was carrying it - like being buzzed by a swarm of giant mosquitoes!
Mostly we had black chins and rufous, with a few ruby-throats and calliopes in the mix.
I did try to count them once. They would line up on the fence behind the feeder - I usually gave up when I got to 75 or so.