I would lean toward any 6.5 cartridge which would allow me to push 140 grain bullets to around 2800 plus. If I didn't mind recoil, I might build a 30 which would push 200's to about the same velocity level. The important thing is to accept that the wind blows and learn to deal with it. You accomplish this by building a rifle which is consistently accurate and easy to shoot accurately then shooting it a lot. If you have a shot blown out, know why.
A 6BR, using 115's, will get blown around a little more but it will be very easy to shoot. A 6.5 Creedmoor is fine although one might want to cover up the barrel markings so no one knows what you are shooting. Likewise, the 260, 6.5x55, 6.5x6mmRem, and the 6.5-284 are all viable cartridges. I have a 7.62x57 barrel (just a 308 run in an extra 6mm) which I have not worked with yet and which is not enough to satisfy those who wasnt to try and outrun the wind but which I hope will enable me to go fast enough without taking too much abuse. Otherwise, there are a few 300's which would fill the bill.
In the end, the only important thing is having a rifle which shoots as close to zero vertical as possible. I can then work at dealing with the wind.