I got a reply to my e-mail regarding ice fishing at Cunningham falls, here it is:
Kevin, Ice fishing is not allowed on Cunningham Falls Lake. Many state parks do however allow ice fishing. It is usually up to the discretion of the Park Manager. It is always best to check with each specific Park before attempting to ice fish. Good Luck and Tight Lines
Oh well, we tried. Perhaps if enough people call the park and request to fish they may change their policy. Otherwise, we'll have to try the other state parks. Perhaps there is something that leads the parks dept. to think that the ice here is not safe, like a lot of spring activity?