.243 bullet for distance and hunting

So I built a .243 AR-10 with a 1/8 barrel specifically to be able to run heavier bullets out to 1000 yards. I want to work up loads to use it for me and my wife to both be able to use it in our local "1000 yard milk jug challenge" competition.

I also intend to use it for mule deer and coyotes probably out to about 300 yards. My question is; is there a bullet that is good for both? I want to run a 100-105 gr bullet that is pretty much MOA accurate out to 1000 yards, but is also good all-around hunting bullet. I like Barnes, for the hometown loyalty as much as any other reason, and I will just use a TTSX if it turns out to be accurate enough. But it seems that the serious distance guys swear by the Berger ELDXs. I din't know how well they perform as a hunting bullet. Basically I'm too lazy to figure out two loads, I want to just make one that works for both.

Am I thinking in the right direction here? Is there another option I am missing?

jmr40 said:

I don't have much experience with 243. But this gal made a 105 Berger work on elk at long range.

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I think that answers my question pretty clearly, thanks.

LoonWulf said:

One does need to understand the limits of the bullet you're shooting though, these aren't the things to try shoot end to end through something..... Unless of course it's fairly small.

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Yeah, I have been scratching my head a bit. I MIGHT hunt elk one day, I do have a 30-06 and a .270 as well. I just want to try to move my focus to one rifle and one load for everything. Coyotes yes, mule deer maybe, I'm not sure what else I will ever have time for.