Is your serial number in the range of known model 1896 carbines? (That can make a difference in recommended actions).

If your action was from a model 1896 rifle and you seek to assemble a nice replica carbine for shooting, that opens possibilities.

Quite a few 'cut-down' barrels show up on ebay, that have been taken off of 'sportered' Krags. They often seem to have nice bores and sell for reasonable prices.

Such a barrel can be cut to 22  inches, re-crowned, and have a S&S Firearms replica front sight put on it.
(You would need access to someone, who can perform the work).

This is likely the least expensive route to go. Unless you refinish the action, everything is 'Parts' and reversible.

FWIW - I really like shooting at 50 and 100 yards with the 1902 rear-sight.
Also, a 1901 rifle slide will work on a 1901 carbine leaf.