I just finished a 6.5 Grendel AR a few weeks ago. Based on an Alexander Arms lightweight 16" barrel.
The ONLY reason I can see to go with the .300 over the 6.5 is if you want to shoot subsonic suppressed. With a suppressor and subsonic loads the .300 can be almost 'movie' quiet.
In every other aspect the 6.5 Grendel is far superior. For shooting out past 300yds like you're talking about, the Grendel is far, far better then .300. Even though it's not as flat shooting as .223, the 6.5 is better at long distance, it has a higher BC and bucks the wind much better.
So far mine with factory loaded Hornady 123gn AMAX (after about 30 rounds to break in the barrel) is easily a 1 MOA rifle. As of now I have only had a chance to shoot mine at 100yds, but I plan to take it out to 300-400 yds this weekend to verify my scope dopes/holdover.
Come fall I plane to take a caribou with it, and maybe a sheep next year.
P.S. this is the barrel I used, looks like it's still in stock and for $195 for a double fluted barrel I don't think you can beat the value.
http://www.shopalexanderarms.com/Barrels-6_5_Grendel_16_Lite_Barrel.html