There will be some mixing, you just want to reduce it as much as possible. If the incoming water is colder than the pool, then fill at the bottom of one end of the pool and drain from the top of the opposite end of the pool.
It is hard to know how fast you are able to siphon and thus at what rate you can refill in order to calculate how long you would need to do it.
You may have to just do it for some about of time (like 15 hours) and then turn the pump on and mix it up and test to see where you are. There is a lot more guessing with this method than just a drain ~50% and refill, but I suppose it is safer.
It is hard to know how fast you are able to siphon and thus at what rate you can refill in order to calculate how long you would need to do it.
You may have to just do it for some about of time (like 15 hours) and then turn the pump on and mix it up and test to see where you are. There is a lot more guessing with this method than just a drain ~50% and refill, but I suppose it is safer.