Good luck finding anything that is not a corp controlled lake or a flood control lake (which is usually a Corp controlled lake). In most cased no real reason to monitor water level unless it is a city lake and they monitor so they can announce usage limitations on their customers to keep from running out of water.
When you start talking city and DNR lakes I would get a phone number for the supervisor of the lake and hope he/she is willing to help you. But unless the lake is flooding or in a huge drought the water level should be very consistent since most of these lake do not have adjustable dams.

