Most cheap 308 ammo from major American makers is pretty accurate. You may have more trouble finding a bad load than a good one.
In my 308 rifles, I've had good luck with Remington CoreLokt, Federal blue-box, and Winchester PowerPoint in 150- and 180-grain loadings. For whatever reason, I haven't tried many 165-grain 308 loads. Some rifles shoot one weight better than the other, but most stay well under 1.5 MOA and some will stay under 1 MOA with the loads they shoot best.
If you want to stick with Hornady, try this:
https://ammoseek.com/ammo/308-winchester/Hornady-rifle-150grains Okie John
