Maybe try a mechanic’s. Stethoscope along the valve cover on each cylinder and see if you can isolate the noise to a single cylinder, which it sounds like just one. With the bottom end rebuild, I would be thinking that I have a pushrod / cam lifter isssue. The older 04, 03 and 02 had huge weep holes in the rockers that do not keep enough oil on the valve train. They spew oil all over the engine bay when the valve cover is off. When my 04 tossed its’ cookies one winter, he got all new rockers with the smaller hole (and better design) to keep that oil where it belongs.
A thought - with the filler cap off, the sound should get faster as engine speed increases. Does it ever go away (at like 1500 rpm)? A higher rpm would push more oil thru the system.