If you are worried about consistency, and have a thermometer, you can do the old stove pot, filled with sand, on a camp stove or hot plate. You can control the temp., depth, and time if you want? I'd hold it in my fingers, and I would drop it in water, again for consistency. Whatever you do to the case, will stop on the spot.

I'd lean towards lesser annealing, maybe like Ken's picture? With good brass spring back, you may never have to figure out how to resize the long case. I'm assuming overshot card, maybe needing a relatively heavy crimp, so just a bit of the mouth may appreciate regular annealing. Only thoughts, best of luck with it.