Brad,
If I were going to try for at least 2700 from a 22" barrel, I'd try Hunter--and in fact plan on doing just that, as soon as there's time to try some loads in a 22" RAR Predator.
Western's data lists 45.3 grains as maximum for 2779 fps from a 24" barrel. My first Creedmoor was a Ruger Hawkeye with a 26" barrel, and with 45.0 grains it got 2845 fps with the 140 Berger VLD.
I'm guessing in a 22" barrel it would get 2750 or so.
