As I changed the "handling" for Special Characteristics" for bombers in Aeronaut, I also thought about which SC suits for autogyros and which not.
I think most of the original SCs from BtCV work well for Autogyros.
Here is my list from the base data file, which SCs are alowed for Autogyros: - Nitro Injectors - Superior Engine - Inferior Engine - Linked Ammo Bins - Light Stick - Heavy Stick - Poor Landing Gear - No Landing Gear - No Zeppelin Hook - No Radio - Superior Range - Inferior Range - Poor Throttle - Flotation Gear - Improved Cockpit Visibility - Reduced Cockpit Visibility - Cramped Cockpit - Self Sealing Fuel Tanks - G-efficient Cockpit - Poor High-Speed Handling - Fire-Linked Weapons - Dog Basket - Difficult to Bail - Wooden Airframe
Everything else makes no or less sense to put it an autogyro. I hope this helps you a bit.