Quote Originally Posted by CMBessette
The only thing I could think of was trying different shutter speeds . . when faster, the ceiling surrounding the window would be under-exposed . . when slower, the window would be over-exposed.
Sounds like you were in manual mode when doing this but keep in mind that if you're in any auto mode changing the shutter speed won't have an affect on the exposure. By doing this, the aperture will just change to compensate for the shutter speed and you'll end up with the same result (same exposure, anyway).

I agree about taking two shots and combining them in PS. There are a lot of different light levels on the glass which might make it a little more difficult. Might be a little easier to do it on an overcast day which will not only lower the light on the glass (making it closer to the inside ceiling) but also be much more even across it.

The capital in Madison is really incredible. I finally got around to walking inside for the first time about a month ago, being a big fan of the Saturday farmer's market which I go to when I have the time. I asked about photography and they told me that there are no restrictions as far as tripods, etc. Gotta go back and shoot there sometime!