You're still being unclear about the condenser fan. There are two speeds. With the AC off, when the coolant temp reaches about 194-195F both fans should run on low speed, cool the temps down a bit and then shut off and this cycle should repeat. That is proper operation of low speed. This speed is barely audible but just enough to pull some air through the radiator. When you turn on the AC both fans should run on high speed.
Are you seeing BOTH speeds on the condenser fan? If the coolant temp gets to 195F or higher, with AC off, and you still have NO cooling fans running then the condenser fan is NOT running on low either. Maybe it works on high when you turn on the AC but we need to know if it's working on low speed. This is an important detail to know when troubleshooting this.
The fans running after the vehicle is shut off indicates one of two things. Either the engine is so hot that the PCM is commanding the fans to high speed to cool the engine down after you shut it off. I'm not 100% sure if the PCM has that programmed into it or not. I've never seen mine run after shutting down but I've never had any overheating issues, either that would command that. If your engine is getting hot while driving it and going up into the 205F or higher range then high speed might be commanded after shutdown. I do know that with the engine running, and when the coolant temp reaches 205F, then BOTH fans turn on to high speed, regardless of AC on or off, so knowing whether both fans are running, or only one is running, and which one, is an important detail.
The other thing that would cause the fans to run after shutting the engine off would be sticking relays. The load side of the relays has a "hot-all-the-time" power feed so if the relay sticks on then the fans will run until the relay unsticks. For high speed, both fans use their own fuse and relay so if both fans are running then I'd suspect the PCM is commanding them on, since two failures at the same time is unlikely. If only one fan is running then either one is not working and the PCM is commanding them on, or one of them has a faulty relay. Again, knowing which fan is running after shut down is vital.