There are plenty of 7.62x39, 6.5 Grendel, 6 ARC, 6.8 SPC, and other calibers that use cases with bigger rims than 5.56/223. If bolt lugs were a big issue, we would see a lot more examples of that happening. And we all know that a single Oh Crap wipes out ten Atta Boy's. And not everyone will post on forums, especially if they aren't having not problems.
I have also seen plenty of bolt lugs shear off with 5.56 bolts while I was in the Army.
@Sanderguy777 Hornady lists the 6mm ARC Precision Hunter 103Gr ELD-X for hunting, the 105Gr. The Hornady Black 105Gr BTHP and Precision 108Gr ELD-Match are both listed for target shooting. I know some have used the Black 105Gr for hunting successfully.
Here is a link to Hornady
https://www.hornady.com/ammunition/rifle/#!/
If you decide to go with 6ARC and then decide to reload, there will be plenty of choices for hunting rounds since 6 ARC, 6mm Creedmoor, and 243 all use the same bullets. 243 will generally run lighter bullets than 6 ARC or 6 CM.
I see that you have mentioned Odin Works. I can say that I have been very happy with the 18" Odin Works barrel I have. I bought their barrel that also included the bolt. If you go with an Odin Works barrel that has the +2 rifle gas system, make sure to get a 15" free float handguard if you don't want the gas block completely uncovered/exposed.
Stuff for 6 ARC is becoming more available as time goes by. I just bought some Hornady 108Gr ammo yesterday for $25.99 per box at Primary Arms. PA also has 103Gr for $28.99 and 105Gr for $24.99