I just simply, truly, totally don't get it, and I don't think I ever will. Why?
Taking a perfectly-good historical rifle, which embodies the best technology of its time (not to mention a piece of the past that will never be made again), and hacking it up into pawn-shop-grade junk? As others have said, sell the thing and get a sporter, if a sporter is what you want. You can pick up a Savage package rifle, scope and all, for about even as an Enfield.
I'm sorry if I sound harsh, but I am with those who think that Bubba-izing antique military rifles is something that rightfully belongs to the trash-heap of history, like bell-bottom pants, mullets, and Pat Boone salt & pepper shakers--and what you generally end up with is a neither-fish-nor-fowl piece of junk. Generally speaking, there is no such thing as a "nicely sporterized" Enfield--period--unless you get an original early-1900's Lee Speed rifle. I've been actively interested in rifles for 30 years, and any "sporterized" number I've seen has always struck me as a Frankenstein, no matter how glossy the wood, how groovy the white spacers, how fab the Monte Carlo hump, or how swell the 6-20X scope. They seem to scream out "my owner could not afford a sporter, nor a military rifle, so he was stuck with this DIY job."
As for the sentimental value, once you hack this rifle up, it won't be the same as what your dad gave you, and it won't be the same valuable rifle you'll be passing down to your kids.
Here's my suggestion. If you think the nosecap is what's causing an accuracy problem, there are gunsmiths who will fix that--since Enfields were meant to function with, not without them. Have you taken yours to one? What was the opinion? There are also after-market scopemounts for an Enfield that require no gunsmithing. And voila' your accurate hunting rifle. I have NEVER seen, heard, read, let alone being convinced of, the advantages of hacking up the wood of a military rifle and making the thing look like a mutilated, junkyard-dwelling, parts-only ugly-duckling.