Based on the specs you listed, I don't think it is going to work. I bought a model 12 stainless action and 26" varmint barrel with the same twist, and it would not stabilize 95gr Bergers. I re-barreled with an 8 twist Shilen still 26" long and it shoots the 95gr Bergers great. I have yet to shoot the 105's but I'm pretty sure it will be fine. My new barrel has an AI chamber and I am still fireforming, but getting great velocity with those 95's notwithstanding.
I have not heard good things about the model 11's and 111's. I get the impression that many of the cost cutting measures applied on the Axis models has been slipped into the model 11 (like a plastic magazine vs a steel one). There have been many reports of model 11 6.5mm barrels with chatter marks all the way from the throat to the crown. Savage does not seem willing to admit that these barrels are defective.
Your best bet to do it right is to buy a target action, get a Criterion or Shilen large shank barrel from Northland Shooters Supply and then pick your stock. Market prices would be $550 for the action, $350 for a Shilen barrel through NSS = $900 and then whatever you need for a stock. This gets you a stainless rigid action, a target accutrigger and a lapped custom barrel. Buying an expensive LPR and then upgrading it will cost you more money and that is without taking into account the money wasted trying to get a not so good factory gun to shoot.