I don't think SWA has any preference on where you get the type rating. The application only asks if you have a rating and not where you got it from.
I got mine from Lone Eagle. You do all the prep online before you get there. One day of ground school and 5 days of sims. Drinking from the firehose but it's cheap and done. Right now they're advertising $5995.
Lone Eagle's sim is in Las Vegas and there's a couple other companies that use the same one who also have lower priced programs.