I started out with a list of major shipyards that I've heard of:
But these are all located in the Core Worlds. That is very far from our game and I'm not sure how to extend the sandbox that far. Besides that, it doesn't make sense to me that Outer Rim residents travel that far to commission a ship.
The next step I took was to look for a map or list of known Star Wars shipyards. I found this list of 130 or so: http://starwars.wikia.com/wiki/Category:Shipyards
After a bit of digging, I found a familiar name: Eriadu Manufacturing Shipyards. This is great since Eriadu is relatively close, in Seswenna Sector, gridsquare M18. It's also has an interesting political connection for our game since the shipyard is owned by House Valorum, ancient rivals to the Tarkin family.
The article on EM Shipyards also mentions a competitor which is even closer to the Airam, Sluis Van Shipyards, in Sluis sector, grid M19.
Rimma Trade route, so that if the party decides to take that trip, the DM won't have an excessive amount of preparation to do.