Zero your 223/5.56 to 50 yards (irons/ red dot/ scope)you will still be on at 200, I believe 1” high at 100 yards(Ammo and barrel length dependent). This definitely fits your budget, my buddy has one on a 7” ar pistol and is happy with it.
https://www.cabelas.com/shop/en/vortex-spitfire-3x-prism-scope
https://www.cabelas.com/shop/en/vortex-spitfire-3x-prism-scope