More or less the only way to keep the AR from feeling really awkward is to put your face right behind the upper receiver. That's one reason the standard M4 buttstock design is bass-ackwards, in my opinion.
With standard aperture sights, this works fine. With a scope, you'll end up too close to the eyepiece.
IME a
quality set of conventional rings will return to zero, with the same consistency and accuracy as Zak described. However, these aren't particularly cheap, either, and they don't provide the right eye relief on an AR.
Bear in mind that the AR platform was designed like this:
Anything different has been shoehorned onto the same receiver, which was never meant to be a mounting platform for a scope. You can expect that you will need some special parts to adapt disparate components. All told, the AR has proven to be
ridiculously versatile, with the right add-ons. That also means that it can turn into one hell of a financial rat hole, if you aren't careful.
Also: competitions called "practical shooting" are not the same thing as practical shooting. What's
practical for any individual or application may vary. My ARs are pretty spartan; I have more money in a .22 pistol, among other things. That's because I don't compete with the ARs at present, and I don't use them for hunting, either. That .22 pistol is for match shooting, which has improved my overall pistol-shooting ability because it's led me to practice a lot and pay close attention to improvement -- but the pistol, itself, isn't so practical at this point, except for target matches.
Only you can decide what the best choice is, for you. OTOH, while "what's best" can vary a lot, there usually are some universal "worsts", and it's a good idea to avoid them.