Well, you do not need to spend $600 just to anneal, but the question you should ask is why are you doing it?
Prolong brass life, or make your brass uniform?
There are very detailed articles on 6mmbr that discuss the process, the video in the link I posted also discusses and demonstrates some of the principles.
Here are some basic myths, you do not need to toss in water, annealing occurs at 800-900F, once the brass is removed from the heat, the brass will no longer heat up, the warmth will spread to along the body, but the brass will not get any hotter than it was in the flame. The reason why commercial systems use a shell plate, or sleeve is to provide a heat sink to stop heat spreading down the brass during the actual time in the flame, not after.
The color is nice, but looks different and may even be non existent in some types of brass, manufacturers have their own propriety brass formula, they all look different after annealing
Heating brass till it looks dull red?? How dull, whose eyes, how dim a room?
You will be farther ahead spending $20 on a bottle of tempilaq (750 or 800 degree), apply it 1/4 inch below the shoulder and heat your brass in your flame of choice until it melts, then remove it. As long as you repeat this process in a careful manner you will not have to place tempilaq on all the brass you process this way
Brass is rotated in the flame because it is round, and heating only one side (as in a pan) will heat one side more than the other, why would you want a softness gradient around the circumference of your brass?
Summary:
Use a temperature indicator to teach yourself what you are really doing.
Rotate the brass in the flame, use a drill, use a Hornady sleeve system or an expensive rotary annealer, it depends on how much time you have, how much brass you want to anneal, and how reproducible you want the process.
As with everything in life there is no free lunch, just decide which compromises you are willing to make