Ideas on what's causing my click/tick/rattle noise?

Slant oil pump volume is determined by the thickness of the rotor.
There are three thicknesses of the rotor.
Thinnest the oe mechanical lifters is approximately 5/8 inch.

I believe this is what I have, the rotor measures about .650 or so.

Post a picture of the oil pump. I can tell if it's HV or not.

RRR, here you go with the cover in place, and the cover removed.

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Is the pump body aluminum?

Yes it is.

Did you service - clean the oil by pass valve in the oil pump as part of the re build. The by pass valve should move freely and the FSM has a spec on spring length.
Oil pump rebuild kits with new inner and outer rotors and gaskets show up from time to time on e bay. Pay attention to get the correct rotor thickness.

I did a complete inspection on the pump when I built the engine, and all was in spec. I'll do it again while it's apart. The spring length was also in spec at that time.

Federal Mogul does have a press on rubber valve guide seal that fits over the stock OD of the slant valve guide. I have seen those in the Federal Mogul full engine rebuild gasket sets.

Would you have a part number by chance? I went looking for the Federal Mogul seals and came up with nothing.

While you have the cylinder head off take a flashlight and look into the manifold side of the port to get a visual on the back side of the valves. There may be a lot of coking on the back side on the valves. It will be really bad on the back of the intake valves if the intake valve seals are letting oil get sucked in.

Was that a typo in your response, that maybe "coking" should be "caking"? If not, what is coking?

I tried to get a photo of the intakes on the head but it's just too tight to get a camera to line up. The #1 intake for sure looks skanky. It's black, wet, and has wet looking build-up on the backside of the valve. The #4 intake also looks somewhat compromised. The others don't look too bad. I do have a remote camera on a snout that I will see if I can get it to cooperate for some photos. The exhaust valves look OK to me, they are light black powdery looking. I'm not sure if this is a factor or not, but the two rod ends that needed a little love at the MS were #1 and #4. That tidbit could be entirely random for all I know.

but what manufatcuere of rings did you use?

I'm pretty sure they were Hastings, but it's been a fair bit of time since I installed them and I can't be 100% sure on that. The new ones are Hastings.

To all, again, thanks for you willingness to help out with my issues. The next week or so is going to have me tied up badly so I will not likely be able to chart any progress on this till then. I think I may have to take the head back to the MS before I disassemble it to get their take on the valve seals. I don't want to fiddle with it if some of this responsibility is theirs.