Value of pH 7 or above 7 of the rain water is really odd. Naturally it is slightly acidic around pH 6 because of dissolved CO2, which (together with low value of TDS) makes it perfect for watering. In areas with some air pollution, one can expect acid rain with values below pH 5.6, in extremes below 5. I am no expert in this, but i have never heard of alkaline rain.
I don't test my runoff water, i tested source well water only once(without nutes) with cheap tester for aquariums [picture coming], which I evaluated like pH 7.2, and because plants looked healthy, I took no care. I have read in many threads, that correcting pH for soil often brings more problems than solutions. But your medium could be different than mine.
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Do you have special pH minus corrector for flowering stage?