Battling overheating new 360 build

I'm going with a restricted Radiator. I encountered a similar problem with my 360. I had my heads cut and installed thinner MLS head gaskets. It would idle and stay cool, but when I drove it it would steadily get hotter. Slow down and it would cool back off. I had the original 3 core radiator taken apart and rodded out. Guy said it was pretty clogged. Afterwards it runs cool as a cucumber.
That's what I'm kind of leaning toward. It's an old core. I'll play with the timing tomorrow and take the car for a run, but I have a feeling I'll be looking for a radiator soon.