Thank you for both of those - very lovely icons of Our Lady of Soufanieh, neither of which I've seen previously - but, unfortunately, no.
The Armenians venerate the Theotokos under a title of Our Lady of Nareg (or, sometimes, Narek). It also happens to be the patronal title of the Armenian Catholic Eparchy for the US and Canada.
I have never seen an icon of the particular title, so I don't know to which style of Theotokos icons it relates (if to any of the common ones) and I've not been able to find it on any of the Armenian sites. I'm hoping that one of our Armenian brothers will be familiar with it and able to point me toward a depiction. Otherwise, I'll send off a query to the Eparchy.
"One day all our ethnic traits ... will have disappeared. Time itself is seeing to this. And so we can not think of our communities as ethnic parishes, ... unless we wish to assure the death of our community."