Powdery mildew thrives in humid, shaded conditions with poor air circulation, so your first move should be spacing plants further apart and pruning lower branches to increase airflow around the foliage. Neem oil works better as a preventative applied before symptoms show up rather than after infection takes hold, but honestly the most reliable approach is switching to sulfur-based fungicides or potassium bicarbonate sprays applied every 7-10 days starting in late June, before that July spike hits. Make sure you're watering at soil level only (never overhead) and avoid working with wet plants, since moisture on leaves creates the perfect environment for spores to germinate. If certain varieties keep getting hit, consider replacing them with mildew-resistant cultivars - some roses and peonies are bred to resist this stuff much better than others.