I have the same Logitech but I don't use any keyboard mappings for it. I use the throttle as is and because of that I only need 1 hand to fly. That makes it easy to just reach over with my other hand to change the throttle. Rudder control and everything is handled by the joystick, and you can set your views on the top button so there no need to use the keyboard at all. I guess it is just preference but I find this works well for me. I really really like this joystick
Anyways...I didn't really answer your question but maybe you can try just using the stick and not bothering with the keyboard. I still have my hands on the keyboard lol, and at first I still pushed the keyboard keys even though they were disabled hehehe. Its a hard habbit to break but well worth it...flying and owning with one hand and holding my beers in the other...life is perfect
