First of all, many are married. There are plenty of converted Anglican Priests AND many more Eastern Catholic Priests (full communion with the Pope, mostly married, not converts). So the issue is just with the various orders of Priests not allowing it. Over all there is not a prohibition on married Priests. The Church's rule not mine!
I think the historical reason for the prohibition of priest marrying is well understood. We didn't want priesthoods passing from father to son. In fact, if you look at a lot of early church writings it talks about excluding people from being Bishop if their family wasn't in order.
I am Anglican, and we say our church is built on Tradition, Scripture, and Reason. LIke the Catholic Church we hold Marriage as a sacrament. It makes no sense to me to say that Priests can not participate in one of the sacraments. In fact, I don't think it does to Catholics either - they get around this by saying that the Priest is necessary for the sacrament of marriage between two people to occur. So they are participating in the sacrament just not in their own marriage. At least that is what Catholic priests have explained to me. The church is a little schizophrenic on this - because when not talking about Priests being unable to participate it is just said that they are the chief witness and the couple are the givers of the sacrament. My marriage for instance isn't valid according to the Catholic Church (my priest was Anglican).
This tradition is not based on scripture but has a clear historical purpose that is no longer necessary, wasn't universal in the church until around 1000 years ago, and isn't even now universally enforced but is still dictating other major changes to doctrinal believes. Yet, more Catholics support women priests than married priests.
Sounds like you are in the right place for you.