About Conte, windows, and the sun... I don't think the sun can really get onto the ice knowing all of the "structures" around Conte, and I am 99.9999% sure that if it ever did that it would not melt the ice. Those windows on the opposite side of the football stadium are just feet from a rock wall that goes up 30 feet, which is the edge of where the reservoir was filled in and on top of it are various building like O'Neill Library. That rock wall is just 10-15 feet away from the Conte walls/windows. No sun could ever come in from there directly. On the other side, you have just the luxury boxes, doubtful any sun would come in through there even if the blinds weren't shut. And on the two long sides you do have the long set of doors but on one side you have Merckert blocking a majority of that side and on the other side it is somewhat open but you have the garage, dorms on Comm Ave, and a larger dorm next to the garage that would block any sun at a low angle, the only time it would ever have a shot of getting in directly from those doors (and even that would be doubtful with the steps that go up to block it.
edit - the most likely way for sun to get directly into Conte and close to the ice are the two corner entrances with glass doors and some longer glass windows on the side opposite from Alumni Stadium. I think that is the only way sun could directly get onto the ice because the tunnel for the corner sections line up directly with the entrances there... but even that would be tough (although reflected light could make it through but that changes everything).
edit #2 - this thread really sucks.
