I can't help with your question. However, you may want to check over at
www.SavageShooters.com. They have a forum just for selling Savage parts. Also check the rifle forum. You can usually find discussions from those who have done or are considering barrel swaps.
If I may make a suggestion. Unless your heart is set on a Savage, you might want to look at a Weatherby Vanguard. Obviously, they are chambered in .257 Wby., but the Vanguard is not that much more expensive than a new 111. By the time you go through the process of a barrel exchange you may exceed the Weatherby price. Or course, if you have the tools to do the barrel exchange yourself, you save the gunsmith fee.
Good luck with your project.