In Austin? How many people did they audition? That's crazy. It sounds more like they are saying "we can't think of anybody off the top of our head without this possibly being inconvenient for us." You gotta do what you gotta do. If I'm reading your post correctly, (1) your career is taking off, (2) they know you do not want to tour, and (3) there are no tour dates actually on the calendar. It's time that they face reality and move on without you.
Congrats on your promotion. It sounds like you have a level head on your shoulders.
All of this.
If you really feel bad, help with the search for your replacement and agree to bring the guy up to speed. The is no moral obligation to do this but if going above and beyond will make you feel better go for it.
Congrats on the promotion!