I would certainly want to evaluate the stock to determine if it may be beefy enough to permit scraping that checkering off, fair the reshaped grip into the rest of the stock and then rechecker it in the conventional manner. Certainly would be much more likely to produce a harmonious outcome.
I guess you could do a stock transplant in reverse, retaining the old butt portion and splicing in a new wrist and head but for the labor involved in that you might just as well restock the thing. I just don't see trying to form a very thin curved inlay to wrap around each side of the stock as being a very practical and a thick inlay would likely make the wrist weaker than just scraping and recheckering.
What gun is it and how thin is the wrist in particular? Is the gun worth restocking which would probably be cheaper than the inlay anyway.