Andrew, my Bavarian Bergfuhrer badge is identical to yours pictured. It has a latch cross pin catch with a gold color finish reverse. Do you have some info from the Bavarian police about the inception date of the Bavarian Bergfuhrer? Is it officially called the BergfuhrerAbzeichen?
I have an award document presented (1946) to a post war Bavarian Gendarme for an Edelweissabzeichen. I have no idea what that was or what it might have looked like.