I am going to agree with Don on this one. In this case I think some aeration is better than no aeration. You are the best judge of your situation, and if a large influx of water caused a turnover leading to a fish kill, that almost surely means you have anoxic conditions in the lower waters of your pond.
When these lakes and ponds stratify in the summer months it takes an enormous amount of energy to get them to turn over, and that rain could very well do just that. In larger BOW the wind will will keep the BOW mixed, but in most cases in the smaller lakes and ponds there just isn't enough surface area for the wind to be effective and that is where aeration comes in.
You have some very nice depth, so bottom aeration should be effective. Just remember to start up the system slow.. run for 15 minutes the first day, 30 minutes the second day, an hour the next and so on until you are running 24/7.
