$2000 total eh? That's not a lot, I will explain why.
I'm hoping you want to enjoy getting good at running and gunning with your AR, that's how you enjoy an AR. Even though you said you just want to own one, it seems a pity to me for someone to treat an AR as a violin that one has no intention of learning to play. If you're really just planning on taking it out of the safe occasionally to admire and print some groups from the bench, ignore my advice.
If someone is starting from scratch in the AR hobby, I would advise them that there are 5 things to spend their budget on. In no particular order:
(1) Ammo - AR is a hungry pig, almost as bad as 22lr in round count but costs way more per round. Get at least a 500rd brick to start with.
(2) Training - if you happen to have a good buddy who's ex-special or ex-tac this and that, or if you have access to a well trained friends circle willing to dedicate their free time to train you, you might be in luck to save some money. If not, IMHO it's a must to go to at least a one day carbine course with someone reputable.
(3) Optics - More "mission" specific than the AR, but a reliable and suitable one is a must. I find the optics is going to affect your experience more than which specific starting AR you choose. There are budget options but will still cost you some cash.
(4) Gear - You can borrow some maybe, but soon you will realize the gear you put on your person will affect how you run the gun as much as the gun itself. Particularly true if you're interested in CQB. Mags are gear too, at least 5 to start.
(5) Gun - You said AR specifically, vast majority of them have identical manual of arms. As long as you don't get something that will likely come with many defects, like improperly staked gas key, firing accidental bursts, broken bolts etc. Without naming names I only know of one brand like that, and it is not Norinco.
I didn't mention anything about club membership and maintenance tools because I hope they're so obvious that you have them already, you mentioned something about a local club. But ARs do have some unique odd tools.