I got some Flitz, as well as some brake cleaner, and I'm going to hit the handi with those things, but first I have an observation to relay.
Last night I was going through my brass that I've recently shot, and I picked out some of the ones that wouldn't eject. I noticed on a few of them (not all) that the brass would only stick if I had it in the chamber in certain positions. For example, I would put the brass in, close the action, and then try to eject it. I would then turn it 90 degrees and repeat the process. On a few of them they would eject if they were put in a certain way, but not if turned 90 degrees.
I've been using Winchester brass, some that I obtained from Midway, and the rest I got locally. Even though the brass was new, almost all of them had mouths that were not even from one side to the other. I don't mean that they were out of round, but that when observed from the side of the case, the mouth was not even from one side to the other (one side was way higher than the other). It was way off too, not just a little bit where you had to really look to make sure.
I'm gonna do the polish thing, and if that doesn't work, I'm gonna try some different brass (maybe Remington), and if that doesn't work I'll reduce my loads. Hopefully one of these will work.