I have a Sun Bike Shortcut: http://www.sun.bike/sunbicycles/bikes/shortcut-bike/
that fits well in my Warrior II. I believe it should fit through the baggage door of the RV-10. At least I hope so, because I'm planning on putting it in the RV-10 when it's flying! I have the 7 speed version, with the luggage rack and fenders, and it weighs in at about 29 lb. Cost about $450 plus tax.
I don't have the dimensions of the -10 baggage door handy right now, but if it is big enough to fit the 16" wheels, it should fit. I have to remove the seat post to get it in the Warrior, but that's no big deal. I slide it in wheels first and then put the seat in after it. I think it should work the same way in the 10.