I'm not entirely sure I agree with all that has been written here. I have some observations to make about a #1A in .243 I worked on for a shore while (selling it now).
1: The factory barrel really wasn't at all a good shooter. Tubb'e firelapping system helped a lot. Obviously, a custom barrel would be even a major improvement over that.
2: the moyer's adjustable trigger was easy to install, and made an unbelievable difference. While I had the assembly apart, I took the oppertunity to hone the trigger and sear engagement surfaces with a 600 grit diamond hone, just to help smooth things out. I didn't do anything aggressive with it, and I tried to keep as much metal in pace as I could, but I did polish out the tool marks, making a nice smooth pair of metal surfaces. This also helped quite a bit. It's not a match trigger (although I'd bet a good gunsmith could make it into one) but for a field / hunting trigger, it's pretty darned good,
3: don't bother with hick's accurizers or pressure points. These things will help shrink your groups, but the wood can still swell or shrink with conditions. Instead, glass bed the forearm to the reciever, and the forearm hanger, and freefloat the barrel. Your groups won't be quite as small, but you will be able to keep a zero from one season to the next.
The quarter rib on the factory barrel can be ever so slightly modified to provide very good overall performance. Alternatively, if you go the custom rounte, have a 4" or so section of the custom barrel straight, and have your gunsmith put a straight rail on that, and go with a nightforce unimount with 20 MOA built into that.
I modified the rib on my factory barrel, lapped the factory barrel, floated the forearm, and did the trigger work. Overall, less work than I would have put into a factory bolt gun, and while I'll admit my marksmanship isn't the best, off of bags, it'll hold under an inch at a hundred yards with handloads it likes. If it'll do under 1 MOA at short range, then keeping it together at longer range is up to the shooter.
I got all of these ideas and a few more from this link: