Usually, I would hammer the coin silver much thinner than the original thickness before cutting out an inlay, which allows me to bevel the edges and bend the inlay enough , to inlet it "proud" in the centre and then hammer it flat which locks it in. For what you want to do, I have in the past , soldered a post on the back, inlet the inlay, and then run a pin through the stock, and post/lug . Running the pin up though the bottom of the cheek [ if that's where your inlay is located, is pretty much un-noticable