Bermuda is pretty tolerant of fertilizer as long as you stick to the recommended rates. You should be safe with anything claiming to be "slow release" or "x months of feeding." This is especially true when temps are moderate.

Typically though, you would only want to use a "balanced" fertilizer on bermuda once a year. The other applications should be mostly nitrogen. Most people save the "balanced" fertilizer for the end of the growing season, but I'm not sure if there is any valid reason for that.

I love it when the community electees decide how the residents should care for their property. In your case they seem to want to make the place so ugly that the residents will move out and the few remaining die-hards will then have enough water.

I think you misunderstand what a balanced fertilizer is. That term describes a fertilizer that has N and P and K in it. Something like ammonium nitrate has only N so it is not balanced; however, ammonium nitrate can be used as one ingredient in a balanced fertilizer. I think what you want is a slow release fertilizer. Synthetic slow release fertilizers use the fast release fertilizer chemicals inside a plastic coating that dissolves slowly.

You might consider using an organic fertilizer. Organic fertilizer are almost all slow release simply because the bacteria and fungi in the soil have to decompose the fertilizer before it becomes useful to the plants. It doesn't matter if organic fertilizers are watered in or not. There is no danger of burning. Many bermuda owners like to use straight soy bean meal at 20 pounds per 1,000 square feet every month to fertilize. That's as organic as you can get. Try it. It works.