Your idea is a good one. However, due to the bullet twist issue, even the 1/10" .250's are more accurate with the 100gr bullets.
I have a .257Robt with 1/10" twist, and it's always been more accurate with the 100gr bullets than the 115-120gr bullets. Not "inaccurate" but not in the 1/2" range either.
However, the concept is taken to it's fullest with the 6.5's. The 140gr flat-base bullets are fully stabilized with a 1/9" twist and the .260Rem does just that. However, to get decent results with the "plastic tipped" 140's, a 1/8 is much better, and 1/7.7" is ideal.
My .260Rem fully fills the criteria you have. I've got a Remington Mod-7 in .260. With 140gr bullets it's very accurate at 2,650fps and does blood-shot some tissue such as any expanding bullet will. I expect that those who buy/use the new Ruger "Hawkeye" rifles in 6.5Creedmoor will find that it is exceptional. It is essentially a 6.5/.250Savage-Ackley Improved. FWIW, my .260 is amazingly accurate with the discontinued Sierra 160gr RN at 2,400fps. I intend to get around to shooting some deer with this, but this bullet would do even for "thick timber" elk.
The very best of your concept is the .30/30 with cast bullets. This is in fact the reason I believe that the .30/30 is still as popular as it is, especially with the 170gr bullets.
But, shot placement is just as important to meat loss as caliber/bullet selection. Just yesterday morning, I took a 135lb, 8pt buck with my .257WbyMag and 100gr bullet at 3,600fps m/v. The 100gr Hornady "Interlok" Spt, took him mid-rib cage -broadside hit, punching a 1/4" entry hole and a 2" exit wound. There was a bit of "blood-shotting", but no more than I see with the .260 and 120-140gr bullets. Impact velocity was "up there" as it was a ~170yd shot. I intentionally shot the deer "back" a little just to avoid meat loss. None was (unless you consider some of the rib's a "loss". I don't mess with the ribs as there isn't enough meat to bother with, as I make "hamburger", sausage, or cubed steak from my deer and discard the ribs.).
A .257Roberts is a better choice than the .250Savage IMO. But, If you have located a good .250Sav. I wouldn't turn it down.
FWIW, the best .25cal bullet for what you intend to do is the Hornady 117gr Round Nose. There is a reason that it is still with us in 2012 and is loaded in even the mighty .257WbyMag factory ammo.. It's a incredibly efficient killer, and is accurate, and within 300yds isn't hampered by the low ballistic coefficient in the least... And a 300yd shot on a deer is a "furr piece" to shoot. Condering how much can happen between the time you pull the trigger and the bullet "gets there".
My "close range" "woods" load for my .257wby is 74.0gr of WC860 in a reformed Rem. 7mmRemMag case, and the Hornady 117gr RN. This load is very temp sensitive and at typical hunting temps in my part of the world runs about 3,050-3,200fps. It kills deer like lightning but is cheaper than reloading for a .30/30.
But, just like the .30/30; a poorly place shot will either ruin a lot of meat or result in a lost animal.
Just like any other "adequate" big-game cartridge/bullet.....