How many in each Synagogue?
And it was SPOKEN not read.
Again, if there is ONE set of Scripture per household that is not rare.
If there is one set of Scripture per 1,000 that is obviously rare.
If there is one set of Scripture per 10,000 that is very rare.
Scripture was not only rare, it was heavy and fragile and hard to transport and hard to copy.
With Nomadic people, how many could not attend Synagogue due to travel?
You kick against reality.
Read Josephus and see that your picture is way out of focus. The northern tribes were not nomadic, but well established in Asia Minor. They are the people to whom Paul, Peter, and James wrote in their epistles (by their own words). The “strangers.”