My suggestion wasn't to change your bindings completely but instead take advantage of using an alternating control scheme that switches back and forth depending on whether or not you have your landing gear up or down. That way you can bind left and right movements for those moments when you need precise control only but then leave the control options to how you want to fly when you don't have the landing gear down.
I do this with my flight stick, for normal flight the directional hat controls power distribution then for docking it controls the thrusters for up, down, left and right.