Small update, went to start the car leaving for work today, and it made the sound - so it doesn't do it when it's hot.
Now, this issue's been going on since I first bought the car 7 months ago, and when it was purchased the ignition cylinder was kind of messed up. The black tabbed rim around the key tumbler isn't locked into place, and is able to move freely. I've had to wiggle it a little to align it properly when I get out of the car otherwise it'll chime when the doors are open even if no key is in there. Is it possible that since they cylinder isn't aligned just right, that it could cause the ignition to be unsmooth sometimes, even causing that weird noise?