Did you verify if you have the correct lifter pre load? Using the stock valve train the push rods need to be checked for proper length, especially if the heads have been done.
If the heads were milled flat it would cause the rocker preload to increase not decrease since the lifter to rocker distance is actually shortened up.
My bet is a bad lifter or one that hasn't pumped up properly. I'd go one by one as described above and see if any pushrods are loose. If you find one, pump it manually with the pushrod or long screwdriver while pouring oil on it. Start it up, if the noise goes away and then comes back you have a failed lifter. If the noise goes away it probably just had an initial problem. My motor did that too.
Here is a sequence to make the check of each pushrod go faster:
Position Intake Exhaust
TDC #1 firing set #2 #8
Rotate 90 degree set #1 #4
Rotate 90 degree more, set #8 #3
Rotate 90 degree more, set #4 #6
Rotate 90 degree more, set #3 #5
Rotate 90 degree more, set #6 #7
Rotate 90 degree more, set #5 #2
Rotate 90 degree more, set #7 #1