Tony,
You know enough about the platform to see there is a lot of mis-information and good information in this short thread. I will try to add some helpful info.
First off go for it! Just because some say it is "too hard" or "can not be done" does not mean you can not!
The Sage does come in a heavy barrel version now - you know that.
You can shoot the M14 and do well at 1000yds with it - others have done it and you may be able as well.
Moderate gas system mods should be made. I run a heavier spring, vented and bored gas plug and standard piston.
Get the rear sight tight - if you end up using irons
Get your prescription optimised - if you end up using irons
I suggest you do not set up your loaded round length at 2.80" That would never allow you to achieve full potential. The M852, M118, M118LR lots I have on hand all measure 2.810ish out to 2.830". I doubt you will need to load any rounds to battlefield specs on the 1000yd firing line, so load them long. With regard to 185 Bergers, I would strongly suggest that you have the rifle throated, or chambered, so that you are loading them out to 2.870 - 2.90" This will give you more powder capacity and more fps at sane pressures compared to loading them to mag length.
Regarding chamber reamers, I would be considering the 308 Palma Bisley chamber reamer. I started researching things in that direction, and I have some info suggesting that may be an ideal reamer for my application. Send me an email and I will send you some info on the reamers and copies of the reamer prints, then you can explore this route a little more. (The "M852" reamer has the loosest freebore - I would not use that one). This forum is a wealth of info and there are likely to be others offering good info about reamer choices. I am not an expert, and so far, I have just ended up with the chamber the gunsmith put in there.
Another bullet to seriously consider is the 168 Berger hybrid. When loaded to similar pressures, the drift is pretty dang close to the 185's at 1000yds. Had the 168 hybrid existed when I started down this road, I would have seriously worked up a load with it. However, I chose the 185 and it shoots so well I have not deviated from it. The 185 (I use the LRBT) has performed incredible in 4 different M1A barrels and 2 different rifles. You can not go wrong with it. (Talk to Nez about the 168 Berger hybrids.)
All of my barrels have been 1:11 twist, Bartlien, Obermeyers and kreigers. No stability issues with the 185 out of those 22" barrels. My 185 loads average 2500-2550 in those barrels, with brass lasting the usual 4-5 loadings. I use Winchester brass, CCIBR2 or Wolf primers, and 4064 powder. Some combos might work better, but I again choose not to waste time and barrel life chasing the unattainable "perfect load" when I have a great load. I have not experienced any temp stability issues with the IMR 4064 and my load. It has shot very well from 40 degrees upto 100+ degrees. Varget would likely be worth trying, if I had to pick another powder.
I usually swap out my barrels at the 3500-3700 rd mark, which may be a little early for a dedicated LR barrel, but my rifles always do double duty as XTC and LR rifles. So, with the extra beating the throat takes in the rapids, I end up swapping the barrels out sooner vs later.
Shooting the service rifle at 1000yds is not easy, but that is also why I enjoy it. I have shot a 445/450 Palma score with my M1A, several 195's and made HM rather easily with the M1A's. I have toyed around with the AR15 at LR as well, and just started playing with the AR10/M110 clone for LR. I can say that shooting the AR15 with 80's at 1000yds is the hardest shooting I have ever done, and I never held so hard as I did to shoot HM scores with that little rifle. I do not have enough experience behind the AR10 yet to say for sure, but when comparing all three, I am finding the M1A/M14 to be the easiest to shoot LR.
Have fun, really learn to read the wind and hold hard.
Jamey