Don't forget if you are using distilled water, you will need to add calmag to the water.
Either way, you should feed right away with a very weak solution of your bloom fert to replace the 'good' stuff you flushed out with the water. That's the very important last step of a complete flush.
Now, the pH of distilled water is actually more like 6.6, because you have dissolved atmospheric gases that lower it. But the ionic strength is very low so it doesn't matter. Unless you have a pH tester, you should not be mucking about with up/down! Adding nutes does NOT raise the pH automatically. That depends on what the nutes are composed of. A quality fertilizer is buffered at the exact range for cannabis, so if you use one that is desinged for the type of grow you are doing, and your soil is not sour already from overfert or the lime being used up, you should not have to adjust your pH at all.
Read the 'importance of a continuous canopy' sticky in basic and the thread linked in there for more info.