I don't know if I fully agree with not piecing one together.
I have done a few this way, and have come in well under $1000 for the parts.
Either way you will need main bearings, gaskets, seals, cam chain, bushings, pistons, rings, valves and guides.
Careful shopping nets great results.
I just scored a Combat head complete shipped for $125,
I have gotten combat cases shipped for $150, a crank for $100, rods for $50 and a barrel with lifters for $75.
Cam drive bits for $25, cam for $50, pushrods for $25, timing cover $50, oil pump $25
You can usually find lots of engine hardware cheaply.
That's $675 for all the big bits, and if you price the new bits needed at about $500.
So for $1175 you have all the parts for a rebuilt engine, just add your labor.
I watch ebay daily and these things come up at these prices fairly often, I usually buy them when they do.
Your individual results may vary.