you would do some wicked damage to a coyote at 3-500 at those velocities I think. I am running a 275 grain Rocky Mountain bullet with 107 grains of Retumbo at 3056, with new brass, and according to Ballistic AE it stays supersonic out to 1900 meters. ES with this load is 11 FPS without bushing dies. And if I remember correctly Strelok Pro gives similar projections to Ballistic AE. If I remember correctly you have a 27" barrel? I went all the way up to 109 grains of Retumbo before I saw pressure signs and I think I had 3125 or so with the 29" heavy barrel that Joel Russo put on it (have to check the Magnetospeed). So you may be able to go a bit past 107 and get to at least 3000 with a 275 grain RMB, depending on how your barrel. I have not had the opportunity to take this load out past 700 meters yet.
I agree with turkn8r1, I think those velocities will wear out your barrel faster and you won't get spectacular results at long range with its low BC.
At what range does your friend and his .338 LM get precision accuracy with that bullet weight?