Winchester 52's make great trainers. That's what I have, along with a nice biathlon rifle (and used Biathlon rifles can often be acquired cheap!). But you don't need to change a stock, shorten a barrel or anything else. And 52's are not accurate. They are unbelieveably accurate. Winchesters, especially vintage ones, will shoot better than you can. And that is not a dig at your shooting skill, but praise for the Winchesters. I can't outshoot my 52... I doubt anyone can. And 50 years later, they are just as good as new as long as they weren't shot out or abused.
Also, there is NO reason to change the configuration to match up ergonomics or visual cues to make it look like a modern rifle. The skills all translate directly over from Winchester to whatever you shoot. My duty rifle is a TRG... about as far from a Wincester as you get. If you want a Bipod, you can put one right on as there is already either a swivel or a rail that will take a swivel.
Here's mine. That's a 24X Leitschert spot-scope on it. State of the art c. 1957. And still the absolute t*ts today!
Pardon the bad photograph... the light was terrible.
Oh, and if you buy the Winchester and take care of it... it will just go up in value every year. Cut it up and you might as well just... cut it up. Take care of it and someday you will sell it for a lot more than you paid for it. And have the coolest rifle on most smallbore ranges!
If you want to do tacticool, suggest something like an accurized 10-22 or its equivalent in a bolt gun, (the 77-22 I think) which takes some (not all) of the same accessories as the semi. When properly built, those little Ruger 10-22's are unreal accurate. Unlike vintage Winchesters, they are also cheap and disposable and are like Lego sets -- you can do anything with one and never look back. As I mentioned, you can also find used biathlon rifles cheap. The Russians made some damn fine ones that go for very short $$.
Just my $0.02. And I'll let someone else say mean things about you for suggesting chopping up a Winchester to "have something nice."

Sheesh, some people...
Cheers,
Sirhr