I use a heavily modified P14 in 303 Brit for hunting, because it fits me and I have confidence in it.
If I was out looking for a hunting rifle and I found a P14 already nicely set up for hunting, and the price was a steal (like it was for mine), I'd do it again. To say that the P14 "is accurate" needs to be qualified. They can be accurate, but that depends on barrel condition, how it's stocked, and how it's loaded.
I'd go for a new or used purpose-built hunting rifle like a Savage for example. With new guns so cheap relative to income, it's economic insanity to do all of the gunsmithing work required to adapt (sporterize) an old military gun.