oil pressure question

First, stop using the STP. Normally, additives should be used only as a last resort, not a matter of routine. That's probably giving you that really high cold PSI.
Second, use an oil with a higher viscosity index. You'll get less pressure drop with temperature increase. You should be able to get the pressure you want with Rotella T6 5W-40, which has a viscosity index just under 170, or Mobil1 15W-50, VI of 160. They will thin less, and consequently hold pressure better than oils with lower VIs. Both also have ZDDP levels above 1200 PPM, which is a good anti-wear package for stiff valve springs. They are synthetics, which will cost a little more, but both are readily available, and often on sale in 5 quart containers at Wally World.

Not anymore. Since a few years back, none of the diesel oils have the high levels of Zinc they used to because since 2004, diesel trucks now have catalytic converters. So if you use diesel oils for high zinc with a flat tappet, be warned. It doesn't have enough zinc anymore.