Just be aware that the metal in the barrel channel is likely to be a little "proud" or high. Or it has been in several I have seen or built. In addition to finishing the outside, you may have to relieve the inside slightly for the best barrel fit into the stock. Your search for the right pin is good, because if you start relieving the barrel channel the cap will have to come on and off several times. And I too think 1/16" is the right one, if I recall correctly.
Not trying to put fear into you on the barrel channel, cuzz it's an easy job. In one I built the cap got a little "shifty" with the ons and offs, so I ended up glass bedding it into place, but with a good release agent so it could still be removed. Yet another heads up, but not an alarm bell.