September is typically better than August squirrel hunting here. But, dove season starts Sept.1. There is a short window for any decent dove hunting. Last year I was able to do both and even camped at my squirrel hunting area and drove to a dove field.
A few years I bought an out of state Missouri license to hunt the squirrels sooner in July. I found that yes I could kill some squirrels but it wasn't prime time great as the cover is so heavy and nuts aren't ready. I decided not to spend the money on that any longer.
Meanwhile my yard is covered with squirrels. Young squirrels are swinging around like monkeys and I'm sure the older ones are working on their second brood now. I can't shoot a rifle here but if I'm discreet I can take one now and then with my air rifle. Our old house was better for this with fewer neighborhood prying eyes. I planted 65 pine trees last year and in a few years more privacy will allow more opportunities.