Hahaha…imbecile that I am I've actually started to run the numbers on what would get that done. Using a basic g1 calculator (which surely isn't accurate to distance anyway haha) you'll need to launch a bullet with a .700 g1 bc at 4150 fps to stay above 2600 at 1k at my elevation of 1100 feet at 30 Fahrenheit/ -1 celcius (actual temp right now).
Of course if it were 100 degrees out and you were at 5000 feet (Colorado hunt in the summer maybe?) you only need 3700 fps to get there (it actually makes that much of a difference, temp and elevation, surprises me).
And if you were to go shooting on the coldest day we had here over the winter at -44 f/-42 c, again, at 1100 feet, you would need to launch a .7 g1 bc bullet at a whopping 4540 fps to overcome that icy sludge air and still have 2600 fps at 1000 yards.
Assuming 50% humidity for all values.
I have now wasted my time and yours. You're welcome