The key to using the solder is to get the glass good an hot as well, otherwise, nothing is going to stick to it. However, if you get a single point on the glass hot, it's likely going to shatter, at which point, you've got an insurance claim on your hands.
A conductive epoxy would work.... Hardman makes a product called Double-Bubble that would probably work well, although I haven't found anyplace that'll let you order it in anything less than case quantities. Might want to check with Newark Electronics (
www.newarkinone.com) or RS Electronics in Livonia, MI.
-Joe