Lateral control limiting with sideslip
Anyone have experience, flight or theory, of limiting lateral control in a situation involving sideslip from thrust asymmetry. Only able to use aileron for control due to a fixed rudder; e.g. one engine fail, - limited hydraulics, no rudder control.
Not a takeoff situation; climb thrust for max asymmetry, but also need to consider the ability to turn; i.e additional aileron required.
Also, considering a specific situation starting with the autopilot engaged, presumably being more limiting because less aileron control is available than in manual flight.
This is in a non FBW aircraft, conventional manual controls, except rudder with hydraulic boost.