Originally Posted by ftnoob

Just remember this is more difficult than it was in the old days. SWA will try to figure out your RR # if you leave it out, and phoning to have the number deleted from an existing reservation no longer works. You need to use name and address variations to book your ticket. Booking without being logged in to MySouthwest may also help. What you hope to see is a confirmation with something that looks like an RR number, but that is not your actual number; that means the computer thinks you are a new customer.

I wasn't able to use this trick due to RR 2.0 being announced too close to my flight date, but perhaps someone will be able to use it.