Man, this post dredges up nightmares with me.
I've put about 25k miles on mine with the tick that I wasn't able to resolve, I am to this day still working on it.
Look up "Engine Clatter at Idle" on this forum and it's well documented on what all has been done.
I replaced the timing belt and all the components early just to be safe, I ran the engine without the accessory belt for a short time to be sure that wasn't it, the valves were adjusted...... 5 times. Rocker shaft bridges were re-torqued...flex-plate was inspected, knock sensor was checked, cylinders were probed...plugs were torqued thrice...exhaust system checked for leaks.
What I'm currently working on with it is possibly a faulty rear camshaft (from pitting). My Honda tech buddie wants me to tear it down and check the lobes for wear and the rocker rollers for a possible cracked wheel.... he has isolated the ticking to that area..that's where I'm at now cause I simply haven't had the time to throw 5-6 hours at the truck. ...Maybe this Fall.
oh, almost forgot, I used Lucas Synthetic Oil additive that gave me an additional 6psi to the (manual oil guage I've installed) at idle but helped none with the ticking sound.
I sincerely hope that your issue is one of the ones I listed or something simpler, if not, just know the truck will keep on "keepin-on" with the noise.
As a side note, we don't have lifters at all (at least what we consider lifters) the over head cam design has the camshaft lobe hitting a roller on the back side of the rocker arm that then pushes down on the valve stem via the adjustment screw. The whole assembly is a blast to remove from the head, especially when you only have two hands and need 3.

.....rubber bands, I know I know.