There are some people here with experience with the Criterion barrels.

I would hold out for a nice Springfield Armory Krag barrel instead. So many people, unfortunately and against the desire of many true Krag collectors, buy and sell parts from Krag rifles and carbines. They are usually found on ebay and I have seen numerous carbine barrels over the past couple years.

Just my 2c worth.

Good luck. Do you have a correct M1896 carbine rear sight?