Bluing/parkerizing OK on PRE-64s
Generally speaking, you can NOT blue or parkerize Winchesters.
However, Clead mentioned that this is a PRE-64.
One of the changes Winchester made in 64 which makes the pre-64 guns so desireable is that they changed the content of the steel they made receivers out of.
Pre-64 was pretty much straight 4140 ordnance steel, after the change, they went to a steel with a MUCH higher nickle content, which, when blued turns either a horrid dark pink or purplish color.
To get around this, post-64 winchesters must actually have a thin electroplate coating of iron to take a decent blue, and even then, it's a very difficult proposition.
I've thought several times of parkerizing my old 94, I think it would look fantastic with a nice linseed oil rubbed walnut stock.
A very vintage military look on a classic rifle.
I suggest you go for it and post some good pics when it's done!