I am not so sure that bicycle can help. When I started training for motorcycle licence, after years of bicycle, I had never consciously counter steered. I was doing it without knowing, and without strong inputs to initiate turns. You don't need strong inputs on a bicycle. I think professional training is a very good idea. Cannot find a very interesting video from Nick Ienatsch saying that there is no such thing as someone "not meant to ride", it is up to the instructor to find the right method if this person is willing.