Well, a few things that I know:
NoDS opened on August 4th in 130 New England theaters and drive-ins. I know that because of the caption of a photo I have of Quentin (ironically from the cut seance scene) from a Boston newspaper - and most of those theaters/drive-ins were actually listed in an ad on opening day. It only played for one week in most of those theaters, but in a few it played two. It disappeared from my area for a week. But then it opened in another theater where it played from August 25th through the 31st. I was thrilled it opened again because the first time I saw NoDS was in a drive-in where, of course, they only do one showing a day. But when it opened later in the month it was at an indoor theater where I could see multiple showings in one day - and considering hoDS was the co-feature, I had no problem doing so. In fact, I did so on two separate days.
Next, I know that NoDS opened in the LA area on September 22nd thanks to a review in the LA Times.
And finally, I know that NoDS opened in the NYC area on October 13th thanks to ads and a review from the New York Times.
Beyond that, I didn't know when it was showing elsewhere. But thanks to you I can add Michigan to August 4th. And it's interesting to wonder how many prints were circulating there when 130 prints were also running in New England...