Personally, I’d go with Federal Blue box or Hornady 130s. They’re not bullet proof!
Despite some Texas outfitters even recommending the .375 H&H for aoudad, they are indeed not bullet proof.
A good friend who had never hunted them before wanted to use a custom .250 Savage bolt rifle that shot 100-grain Nosler Ballistic Tips ver well, and asked me if it would work. I said yes, due to past field experience on similar-sized deer--and even though the outfitter was a .375-type my buddy took his .250. They got within 250 yards of a big ram, my friend shot it in the right place, and the ram went 50 yards and keeled over dead....