As others have posted, your best option is the Barnes 110 load.
Beware: All bullets have a very specific velocity "sweet spot". Push a bullet too fast and it comes apart and does NOT perform. Push it too slowly and either it simply doesn't open at all, or it opens slowly, halfheartedly, and really doesn't act like it should
The 300 Blk Barnes 110 load uses a bullet designed very specifically for that one application. Expect good performance. However, there there are two caveats....
1) The Blackout isn't a power house. It will reliably get the job done, but it is very equal to something like a 7.62x39. And its relatively under powered compared to a 308 Win and even compared to the lowly 30-30.... There simply inset any 'extra' power to play with, no margin of error.
2) You are already giving up some of that limited power, thanks to the shorter barrel.....
Even though you might be able to reliably hit targets at longer ranges, I would strongly urge you to limit shots to close range. Copper bullets are notorious for needing a specific speed to open well, and while the Barnes 110 Tac TX is an EXCELLENT bullet for this application, if you get close to that lower velocity limit, all expansion bets are off... You just shot that trophy buck with a non expanding, 100 grain FMJ for all intents and purposes.
The Barnes is absolutely your best bet. However, if you cannot find them, Hornady 125 SST or Nosler 125 Ballistic Tips should operate well at the speeds you are going to get.