Sorry to hear your having trouble with your repair. It happens sometimes despite our best efforts. Maybe add lubeguard,
@Burla coined "poor man's redline"
Were the heads decked when you had the work done? If so that can alter pushrod geometry and length and cause valve train noise.
If you installed a new cam, lifters and timing chain and primed the oil system after all was done, then something wasn't done right or you got a bad part, which can happen.
How many miles are on this engine? Why did you put an oil pump in it? Did it have bad oil pressure before the cam went? How clean was the engine when you opened it up? Did you double check yourself when you installed the rocker arms and rotate the engine by hand afterwards and ensure all the rockers were adjusted properly with each cylinder at TDC?
I think I'd start there if I were you. Pull the plugs and valve covers, rotate the engine by hand and check for proper valve lash/rocker movement at TDC for each cylinder.
Find one too loose and you'll know where your problem is. I have a hard time believing that after replacing all those parts with new (you did use a good name brand or OEM correct? ) you'd have tick yet.
What did the lifter bores in the block look like? Did you check them real good?
Just my .02. Good luck.