Here in Texas there are not MANY Orthodox churches in more or less rural areas.
However there just happens to be an Orthodox Convent nearby that has a divine liturgy stated on their web site.
My wife and I are in our mid to early 30's and have 5 younger children. We are pretty sure that this convent would be happy to open its doors for us to attend liturgy (they have a priest that visits weekly), but we don't know how to ask them, nor would we want to create any awkward situation for any nuns.
I guess I'll just put it bluntly what my concern is.... Basically most (not all but most) women have maternal instincts and we have so many young kids. We just don't want to make any of them feel awkward. I'll just leave it at that.
I mean they are such nice people... Even though they'd let us I just would hate it to be the cause of anybody having "strange feelings" or question themselves being nuns. Week after week, visit after visit with a married family with kids... I'm sure you get the point ;O)
Get the permission of the Abbess; they usually say "yes," especially if they know that there are no parishes nearby.
If the monks are seriously questioning their vocation because of the presence of your children, then they were already losing that battle long before you set foot in there. Go, pray, be friendly, be respectful of the monastery's rules and routine.