What patterns are evident in your (Rusyn?) family members? Such as: When did the first immigrants from your area of interest start to emigrate? Were they making multiple trips? What proportion of the married men brought their families vs coming alone? How did the families deal with the separations? What triggered returns? If they married in the U.S., was the partner from the same village or region? Where did your people "cluster" in the U.S.? What mutual support or social groups were organized by them?
Very few Transylvanian Saxons emigrated before 1895. It's hard to get a feel for how many of the working-age men were away at any single point in time since we don't have returning passenger manifests, but my impression is that more than half had made at least one trip of some duration. Only a few brought their families; most worked a few years, then returned to retire, pay off mortgages, or if they were young, to marry. If they married in the U.S., they were more likely to stay, although sometimes the first child triggered a return. Long-time separations caused a lot of divorces. Many children left behind if both parents were away, grew up not knowing parents and younger siblings. Main destinations were the steel cities of Pennsylvania, Ohio, Indiana, Michigan & Illinois - Cleveland OH, Youngstown OH, New Castle PA, Pittsburgh PA, Gary IN, etc.
The book "Saxons through Seventeen Centuries" (John Foisel, 1936) includes a couple of chapters on the immigrants to the U.S., but these deal with church and social organizations.