I have a 1-11 twist 22 inch barrel so bare with me for a moment.
I’ve tested several Bullets and powders the most impressive combination is H4895 pushing 155 Lapua Senars in the mid 2800 FPS. It would be reasonable to suggest that in a longer barrel of perhaps 29-30 inchs running a high node that 3000 FPS would be possible using the OP 1-12 twist.
The goal is to be Mach 1 at the distance.
J
As I type this there is a large field of UK Effers competing in the GB F-Class Association League Round 4 at Bisley near London in the annual 'Long-Range' weekend. This afternoon's stage will be 2+20 at 1,200 yards and there was a 2+20 at 1,100 this morning. The other three stages are all shot over 1,000.
There are still a fair few UK F/TR shooters who are very fond of 155gn bullets, although nothing like there used to be as most people here (just as in the US, Canada and down under) now prefer 200s, even the once popular 185 Juggernaut is a minority choice these days. Long before Bryan Litz designed the Berger 200/215/230 Hybrids never mind the in-200.20X, people found that they ended up in the bottom half of the match results sheets sticking to 155s at 1,100 and 1,200 in this event. They - and by that I mean no 155 irrespective of make or model - simply don't stack up in wind changes against even the 185gn Juggernaut at this distance. For years now the medal winners have shot first 210s, then the 200 and 215 Bergers, occasional heavy Hornady. I've not shot these matches for some years, so don't know what's going downrange this afternoon but it'd be a safe bet to put money on the 200.20X and a few heavy ELDs and occasional new 200gn SMK.
However in the UK and other British Commonwealth countries that indulge in long-range prone shooting with the 308, F/TR is a Johnny come lately as there is a slightly eccentric and very much older l-r discipline called 'Match Rifle' which is only shot over 1,000, 1,100, 1,200 yard stages (except Australia where there is longer distance facility with 1,400 yards plus, maybe even 1,500).
Decades before F/TR started these guys and girls decided first the early long-boattail 180gn Sierra MK was the way to go, subsequently shifting to 190 and 220gn MKs, later still 210s when they appeared and most likely the 215 or even 230gn Berger Hybrids now. Recommend 155s for 1,200 yards to these incredibly experienced and talented shooters and they'd cough politely before changing the subject.
https://nra.org.uk/learn-to-shoot/match-rifle/
Now, I know recommending 200/210/215s to the OP for his 1:12 twist is pointless given bullet stability issues - unless he only shoots at Raton in the summer, so the 185gn Berger becomes the near default choice and even it is recommended for a slightly faster twist in 'standard' sea level conditions. As others have said there are others in the same class out there too such as the new ELD-M in that weight bracket.
There is one other issue too - that is barrel length. As the OP has mentioned long distance F/TR, everybody has apparently assumed he has a rifle with a 30-32 inch barrel. Do you Chris? Many would-be F/TR competitors turn up with 26-inch barrel jobs and they barely manage at 1,000 never mind 1,200 yards with the reduced MVs. There are lots of other 'tricks' to making 308 perform at these distances such as very high-pressure loads in small primer Lapua 'Palma' brass or its US equivalents from Peterson Cartridge, Alpha (?) or whoever, but that is a very separate topic.