During the first few days of Elul, I will be away in a city with no minyan. I have a shofar, but was wondering whether a yachid blows a shofar if possible.
On the one hand, the reasoning exists, but perhaps the minhag is similar to the primordial shofar blowing which was public (in the machane).
Since writing this question, I was able to access a Shearim Metzuyanim who quotes shu"t Tzitz Eliezer that Elul Shofar is only b'tzibur for "multiple reasons". Because of my circumstance, I was unable to get the Mare Makom. This question is still open for anyone who can access the reasons or share a different approach.