A-frame cabin

Great idea. Also take a look at architecture of modern chapels and pavilions.
As a great entry has great impact on the building as a whole, why not consider having a triangular door to match the A-frame contours. If you have windows around the door you can create a nice well-lit entrance and reduce the size of the main front windows.
Some inspiration can be the Bruder-Klaus chapel near Bonn, Germany.