If it's been recharged and the clutch is pulling in, then you won't achieve anything by bypassing the switch. If the compressor is turning but you're getting no cold air (although why you would want cold air in November I've no idea) either the compressor is buggered and isn't compressing or the system is working but the flap valves have jammed. Modern climate control systems work by adjusting flap valves so the air from outside is either routed through the heater matrix, though the air con evaporator unit or a mix of both. If you apply permanent power to the compressor clutch so it is in all the time, you can check if it is compressing by feeling the pipes going to it with the engine running, one will get hot and the other will get very cold.