Update:
New battery was working great. I was so confident that last week I went and filled the tank (ouch) with the intention of doing some driving this week. Went out to the garage on Wednesday to take her out, and the battery was dead. Totally dead, as flat as a battery can get.
So, I put the charger on it and waited for it to come back up. After an hour or so, I noticed a strange ghostly light from the interior. You guessed it, the glove box was not completely closed. When I bought gas, I tossed the gas cap key back into the box and shut it, but it was not closed 100% of the way. It was only about 95% closed, and the last bit was enough to keep the light on and kill the new battery.
Lesson learned, close the glove box ALL THE WAY. The bulb may be small, but over a few days it will kill the battery.
I did glue a small pad on the button to press the button a little further so if I close it 95% of the way in the future the light will still go out.
Happy Trails!
Matt