And 7.5" is not ideal for .300 Blk, either. The round was designed for optimal subsonic suppressed performance out of a 10.3" tube.
Not - the .300 x 5.56 was "designed" to allow the AR15 into 3 Gun competition back in the 1980s. It was an expedient wildcat meant to get around the rules that disallowed "poodleshooters" because Real Men only shot .30 cal battle rifles.
It was quickly run off the range at the First Invitational SOF Match at Chapman Range in Columbia, MO back in the early '80s, but it didn't go away. SSK kept developing it and found it had a good application as a niche suppressed round.
AAC lifted the entire cartridge design, changed a few non-critical dimensions, and renamed the .300 Whisper to .300 Blackout. And here we are - shooting it for the most part supersonic by most builders looking for something different in the AR Alternate Cartridge of the Month Club.
It's a good suppressed round, but it was not originally meant for that - it was a supersonic wildcat for 3 Gun, where it never got legs and was largely ignored for the last 30 years until suppressors got interesting and Remington put some ad dollars behind it.
As the OP was building a 5.56 it's also not on topic - but since it was mentioned, then some would suggest that 6.5 Grendel or 6.8 SPC could do better. The issue for a lot of us is the expense - I'm still waiting on cheap gov't surplus 6.8 at 17c a round. Don't think I will ever see it. So I build a AR pistol in 5.56 to feed it.
A 10.5" barrel will carry 1,000 foot pounds of force out to 80m - good for hunting. At 200 its potentially lethal but I wouldn't prefer it over a 16" for long range work. It's not suited for that. I's a close range PDW at 10.5" and stretching that out to 200 is like trying a 20" M16 at 600m. Just because you can doesn't mean you should - or that a good shooter can't, either.
If someone plans to use one - get muffs. They are cheaper than a suppressor, and they "silence" the other weapons around you. Again, that is the professional recommendation. The military uses suppressors for the tactical purpose of not announcing where the shooter is, what is happening, or putting muzzle blast in a team mate's face in close proximity.
For us on a firing line or for HD, the muffs are about ten times cheaper, too. And you aren't registered with the ATF nor do you have to jump thru all the legal hoops.
We've had them available for years but the bad boyz factor of a suppressor is what is really driving sales. it's a trade off - suppressors just jack up the length of the overall firearm and you wind up right back where you started, $1000 poorer.
But - You Bad!