Solid roller lifters...

Well there's an issue right there. That's one of the easiest ways to fill up your top end with oil and cause oil pressure issues.
You needed to use a bushed rocker, not a needle roller. The oil is blowing right through all the little needle roller gaps in those rockers and shimming the side clearance is no real solution.
I use needle bearing rollers and rocker arms in my street 340 without any pressure problems.
25-30 psi hot idle in gear, 70 psi at cruz speed
Melling HV oil pump, stock pan, 10W-30
A racing application is a different story