I have finished a wooden storm door out of 1 1/8" cedar. Looks great so far.

Now I am wondering about how to build the frames that will hold a window and another frame for the screen. They would be approximately 26" wide by 35" high.
My first thought on the window frame is a simple dado/groove on all four sides and mitered corners. Maybe seating the glass in the dado with a bead of caulk. Seems straight forward and easy.
The frame for the screen seems more challenging. I'm thinking it needs to be a two-part frame. One part would be a simple square (in cross section) that the screen would be stapled to. An L-shaped (or rabbeted) second section would cover the stapled face of section #1 and wrap around it so there would not be a seam where the two sections are sandwiched together.
Hope this clear. Now the question is does it seem like a good approach?
Any thoughts or experience would be much appreciated.
Ron
P.S. Found some cool hardware, screen insert cam fasteners, here
http://www.kilianhardware.com/phelscscreen1.html