If you want to build an AK-ish rifle with minimal AK parts, you're limited to blowback, or you have to use an AK trunnion, bolt, and bolt carrier. Those are all fairly complex parts to DIY.
I was looking at an exploded view of an AR-15 last night. The barrel screws into a "barrel extension" which looks like a simple stepped bushing; threaded for the barrel at one end, locking lugs in the other. I assume it's pressed into the upper receiver; I've never had an AR apart.
You could press an AR extension into a simple block and then you'd have a threaded front trunnion with locking lugs, that an ordinary AR bolt would lock into.
The AR bolt carrier wouldn't work at all. You'd have to make an AK-ish carrier from scratch... it might be possible to do the carrier as a weldment, and cut the cam track all the way through with a Dremel instead of an internal track like an AK.
I have no idea about the barrel diameters of an AR, but adapting the RSB and GB wouldn't be a big deal.
I present this as a thought experiment; it would be more work than it's worth as long as AK trunnions, bolts, and carriers are affordable, unless you just wanted to avoid imported AK parts as much as possible.