Another thing to think about is that SOME of the .223 Savages have a 1:9" twist and are designed to shoot 69 grain bullets. It makes sense that with that twist, and being designed to shoot heavier-LONGER-bullets that they would cut the chamber for the longer bullets. Now you are trying to shoot a 40 grain bullet in a chamber that was designed & cut for a longer bullet. It makes sense to me that you are having problems getting that 40 gr. bullet to reach the lands. Shoot a heavier bullet-the bullet the gun was designed around-and you'll soon see that you do not have a long throat at all.
Now on the -250, you should easily be able to seat 55 grain bullets to the lands, and even into the lands, and still fit the magazine. I think the most common bullet shot out of the -250's are 55 grain bullets, and if you load them, you should be able to reach the lands easily and still be able to fit in the magazine.
If you are wanting to shoot light for caliber bullets, why not just step down to the .204 Ruger? They'll shoot those light bullets and at incredible speed, and use less powder.
And as the others have said... If you think Savages have long throats-I dare you to try and seat a bullet to the lands in a Remington.. If you are successful, and that's a big IF, then try to put one in the magazine... Not going to happen.
Even without seating to the lands, your Savages should be exceptionally accurate to begin with. I have found that most of my Savages will shoot extremely well in a large range of COAL. They don't take much in the way of tuning to really impress you.