Keep an eye out for those purple colored action No.1's. Some of those have lapped Douglas barrels and are scary accurate. Tose typically have very fine wood as well. Made the first couple of years.
The Wilson barreled No.1's, some can shoot. Don't be afraid of them. I have a 338 that you can see the chatter marks with the naked eye, but the SOB will shoot. At least until it fouls too bad. Usually around 20-25 shots. It's the devil to clean the copper out of, but shoots bug hole groups to about 15 shots, then MOA to 20 shots, then opens up a bit. Takes about a year to clean though...
