For a factory rifle, I like the Remington 700 Sendero SF II. The barrels have twist rates that will allow you to shoot most of the larger high BC bullets on the market today. For a long range Deer rifle, I like the good old Rem 7mm Mag. It has served me well in places like W. Texas, Kansas, etc. where 300 plus yard shots are the norm.
You should be able to squeeze out 1.25" MOA 100 yard 3 shot groups easily and most will group much better with custom reloads; probably under 1.00 MOA. I had the same basic heavy barrel rifle in 22-250 (Model 700 VS SF Varmint Synthetic Stainless Fluted) and it shot 5 shot groups of 55 grain Noslers at 3800 fps into a .75" hole at 200 yards. But, that rifle has a 1:12 twist and would not stabilize a bullet heavier than 55 grains.
The Sendero is a good base rifle for customization too. Custom trigger, stock, barrel, bottom metal you will have a good shooter for sure. I did this with one of my 700 actions and came out with a 7mm that shoots 5 shot .5"ish groups at 100 yards using 168 grain Bergers.
Get the best scope, base, and rings that you can afford. As for the rifle too, you get what you pay for.
I just had a custom 243 Ackley built by Lester Bruno. He did it in 4 months because unlike most other builders, he stocks barrels, actions, triggers, etc. It would have been 8 weeks but had to wait on the reamer. Of course I could have bought 3 Senderos for the same price.
A lot of people parrot things they have heard about "barrel burners". Truth is most hunters would not shoot 2000 rounds through a rifle in 3 life times, even if it is the only one they own. But, as with anything else, there is a price to be paid for speed and power. If you shoot that much plan on spending $700-800 on a new custom barrel when it no longer groups.