Price out what a gunsmith will charge to cut the original barrel back past the taper at the muzzle, crown, install a front sight, and reblue to match.
Then price out what a new barrel is going to cost plus what a gunsmith is going to charge to install it properly.
Might be a big difference in cost, assuming someone doesn't have a barrel in their parts pile they can give ya.
I'd be tempted to leave the original barrel on it assuming I couldn't get a replacement very cheaply.........and assuming the gunsmith didn't beat me up too badly tidying up the original barrel.
It looks to be a handy length as-is. The person that stole it sure thought so anyway.
(At least he didn't cut into either side barrel marking.)
Dale