As mentioned above all you want to do is dry the brass out, and unless you are in a hurry just about anything over 100 degrees will do this. Also as mentioned above, nothing starts to happen to brass until you reach 600 degrees.
In annealing necks you can either heat them and let them cool naturally, or if you are in a hurry tip them over in water. The change in the structure of the brass has already taken place when the brass is heated and tipping them in water doesn't change anything in the annealing process.