You're going to end up with King for the rod bearings, at least. Kings are a Chinee bearing, but readily available, and tolerances are good enough for stock-ish engines. The rod bearings are specific to the 4.3, they are different diameter and width from SBC 5.7 bearings. Std 4.3 rod bearings in anything other than King are tough to find, at least they were 10 years ago. I doubt availability has improved.
Main bearings ARE the same dimensions as 5.7L 86-up 4.3L. The mains may be easier to find in domestic brands like Clevite or SealedPower (now Mahle). I know Clevites are very popular, but I've never liked them in my engines. They are "soft" and wear quickly. In SyTy which are subject to being rattled pretty hard by detonation, I've never used Clevite. Too soft, but that is nothing but one guy's experience.
I've had to use Kings in the last several engines I've built. I don't have a lot of feedback, but in this case, that's probably good.