I've hammered prairie dogs out to 550 yards, as have many of my friends with the .204. I shoot the 39 gr blitzking, loaded to around 3800 fps. This has a published BC of .287. At 600 yards, it is still going around 2100 fps. It would hit a 1300 fps break velocity somewhere around 950 yards. It would go subsonic near 1100 yards.
I have a remingtion LVSF (22" barrel) shooting 40gr. bergers that I have shot out to 400. That combination will always shoot 1 moa at the range with moderate wind (10 or less mph). I ran the ballistics on the 30,35, and 40 berger with the sierra infinity. Here are the results with the old BC that was printed on the box.
30gr. 600yd. vel. 991 muzzle vel. 3850 BC 0.156
35gr. 600yd. vel. 1101 muzzle vel. 3650 BC 0.184
40gr. 600yd. vel. 1391 muzzle vel. 3550 BC 0.236
The data for the 40 gr. is accurate for 200 feet above sea level. The 30 and 35 gr. data was derived from a reloading manual and my experience with the 40gr. The reason that I have not tried the 40gr. farther than 400 yds. is my scope has run out of adjustment. I will be trying a tapered base in the near future. FYI, I am building an AR with a 204 barrel and will be trying the 50 gr. bergers when it is completed. My hope is that I will be able to shoot the 50's out to 600 with 0.5-0.75 moa accuracy. I hope this helps you.
I found out more about the competition I was wanting to go to. Factory rifles shoot at paintballs at 200 yards, and everyone shoots at eggs at 500. Would a heavy Berger in a Remington VS SF II .204 be enough that I could hold my own ?