Before going to the expense of cutting the barrel back and rechambering, find someone with a borescope and take a good look at it. If you have a barrel with the throat visibly eroded, the borescope will likely show dry lakebed surface for 1 or 2 inches forward of there and then frosting and pitting for several inches forward of that. Not a good candidate for sinking any money into.
The 22-250 AI is a great round, but I won't use mine in a target rich environment such as prairie dogs or ground squirrels. I reserve mine for the more sedate pace of groundhog shooting.