LOL, welcome to the rabbit hole!
Call John H from Whiteoak. He will build one from the Whiteoak Precision side of WOA to your spec and from top tier cut barrel manufacturers.
A buddy had one in 6mm WOA. That rifle was tits.
PSA is great for budget, I have had both outstanding and junk rifles from them. I prefer Aero, but I'd recommend you go shopping at local brick and mortar LGS too. Sample a lot of ARs, and you'll get a sense of what feels best in your hands. You might also want to look at Adams Arms piston rifles, which I think are slightly above the upper end of your price range.
As I understand it, the difference between 223 and 223 Wylde is that the Wylde chamber has a longer leade and slightly larger chamber dimensions, allowing more pressure while still maintaining accuracy. I have 223, 223 Wylde and 556 NATO guns (and a bunch of other AR calibers). The accuracy difference in those, for me, comes from the quality of the build : alignment of the upper receiver and handguard, proper torques, a pinned gas block and all tuned (spring, buffer, gas, etc). Stock trigger on most ARs is junk. Most of my ARs have Geisselle or LaRue triggers beause they aren't that expensive and it makes shooting an AR that much nicer. I also have packaged triggers like Rise and CMC -- you can't go wrong with those either.
Unless it's tuned, most ARs are 1MOA guns at best. Here you'll also find that developing a load that works in YOUR AR will tighten up groups considerably.
When you finally buy one, check some things. Are the bolts in the BCG staked? Is the gas block pinned? Is there slop in the bolt assembly as it glides in the carrier?