Rebuilt 318. Which oil with roller cam.

I am having my 318 rebuilt with new rings, bearings, rods, pistons etc....
The engine will have a roller cam installed and I am wondering if a high zinc oil is still required?

The engine will be torque plate honed.

From what I have read it should be run in on dino oil but can't see where zinc plays a part with the roller cam. Once run in on dino oil I assume it is OK to switch to a full synthetic?

I know that the recommend weight of the oil will change with the bearing clearances but can anyone recommend an oil to run the engine in with? Specific "run in oil" or an additive to standard dino oil? Once run in, what type of oil then? High zinc or not? The car will be used in temps from 60F - 95F or there about.

Yes, I will ask this with the engine builder but would like some info prior to this.

I realize peoples opinions will vary greatly with this. I have done some searching but couldn't find much re roller cams.