Your question poses and interesting point for me though. How much can you bank a plane without it turning, and how do you do it. Thoughts of aerobatics in head and how they do it.
If you have enough speed / power as much as you like! A classic example of this is a knife edge pass flown during many displays. The aircraft is flown straight and level down the display line but with 90degrees of bank applied.
It's done using a load of aileron input to hold the bank balanced with a shed load of opposing rudder to hold the nose up along with power to balance the weight of the aircraft since the wings are not developing lift. Technically the fuselage will actually have a significant positive AOA and will be developing some lift but not much! You 'steer' the aircraft down the display line using pitch at that point but I run out of rudder beyond about 60-70 degrees even at 200mph so never personally tried it right over at 90 degs!
If you ever go on to fly an ex mil jet you'll be shown high speed stalling as part of the conversion syllabus which is a bit of an eye opener to say the least!
Regards
UA