‘I just wonder if he could have given me a disease with his taxi hands.’
There is no disease called or transmitted by taxi hands.
However, it sounds like you were raped. Keep on the police and hire an attorney to make sure the police are doing everything they can.
The taxi should have a record of the dispatched call, the name of the driver and in most cases all his GPS coordinates and times. Many cabs also have cameras that take pictures periodically during a passenger trip.
Have both the police, the DA, and your own attorney request all the above documentation.
Except, e.g., AIDS or Hepatitis (if he had even only a tiny cut on his hand).
Regards,