IMHO, your first port of call here is a capilliary oil pressure gauge - preferably a Durite one. The number of times I have gone to weird engine oil pressure symptoms and it been some spurious electrical nonsense.... For instance, saw this exact issue on a vintage tractor with a (very nice looking ) electrical oil pressure gauge - readings all over the place - Capilliary gauge fitted, and all is well - same issue with a temp reading on an engine - all over the place - "garage" (!) had changed all sorts, at serious cost - turned out to the be the £5 gauge sender unit - which the temp fitting of a capilliary temp gauge found instantly.
If you still have high oil pressure after fitting a "proper" gauge, then my first port of call would be the pressure relief valve - this is designed to dump excess pressure at high engine RPM - so shouldn't really be operating at tick over - hence the importance, IMO, of getting a proper oil pressure reading.....
Good luck