First off, IF the rifle is restorable (ie: the barrel hasn't been chopped & it hasn't been drilled and tapped or otherwise "bubba'd") either restore it or sell it and put the money towards the purchase of a "sportered" Lee Enfield. I don't know about your neck of the woods, but a nice sporter No.4 runs $125-$200. hereabouts, depending on condition and price, and there are lots of them out there. Given that nice No.4's are getting pricier and scarcer, it would be a sin to deprive history of another one.
That said, I had a sporterized LE given to me years ago as a debt payment. I put the Ramline stock on it, and it was easy as all get out. As a plus, the recoil pad on the stock was excellent, and did a very good job of managing the recoil. The only thing I didn't like was the feel of the stock, so I filled the voids and the butt stock with spray insulating foam. It gave the rifle a more solid "feel". I wan't reloading at that time, so it never gave me the kind of groups I wanted and I ended up selling it, but if I was ever to make up another one, I'd buy the Ramline stock in a heartbeat. If you go that route, let me know and I may be able to give you a few pointers. Lots of luck.