I have not said it is impossible, I just said that doubts arise.
Of course people can go away, especially if they live in some place without a big community, but religious jews would go to a retreat with some famous rabbi and where they don’t have to cook, they would hardly rent a house on the beach front for the ten days, and in Ocean City. Which, for those who have never been to NJ, is a place where alcoholic beverages are forbidden (!!! on yomim tovim !!!) and which is entertainment-oriented and not suited to the ten-days mood. I have read your theories, but they seem to me doubtful. Only the men go out and do tashlich, without women and especially without the children? And how can it be tashlich, given that according to the original post they did this each morning and every afternoon? OK, perhaps they had just finished davening, fair enough. But is it usual that a group of male religious jews would talk to a woman who is alone on the beach? They would return the greeting (in Israel possibly not even that). Moreover, she says that only one of them approached her at first. And one more thing, she was picking shells and garbage. Kol Ha Kavod (honor to you) and thanks to Aurora for cleaning the beach (perhaps it could have waited till after Yom Tov). But the orthodox jews don’t invite her indoors where she will be able to wash?