I think the easiest way would be to still use a half lap joint, just use a hand saw to trim back the width of the half laps and then the 45's for just the routed inside portion. In the case of the rail, the half lap cut will remove the detail routed edge for you, but you'll still need to make the 45 on it. The stile will require the removal of the detail routed edge and a 45 as well that terminates at the beginning of the half lap. They should give you look you want when put together, I wouldn't even bother putting glue on the 45 degree part, will take stain better that way no chance of squeeze out if you don't use any...lol..gluing the half lap will be more then adequate.
Last edited by GoNavy429; 12-26-2013 at 03:52 PM.