taking advantage of all your options is a smart way to reproach the issue of correctly controlling, and maintaining a stable and predictable engine heat level, thus installing a larger capacity racing style oil pan and an auxiliary oil cooler with an electrical fan, will significantly increase the engines ability to rapidly dissipate heat even before that engine heat is absorbed by the engines cooling systems coolant. oil flow over a few of the hottest components like valve springs, bearing surfaces,and rocker arms absorb and transfer heat to the block, and oil pan as it flows, thus a larger oil capacity and a baffled oil pan with an extended sump is a good idea as the increased oil capacity and larger surface area of an enlarged sump area exposed too outside air flow can stabilize and allow a good deal of heat to dissipate to that outside air flow, as the air which can be well over 130F-170 plus F cooler that the engine oil that can be up to 250F plus in a racing engine
I'd point out that a 7-8 quart baffled oil pan helps cool an engine.
and dual or a large single electric fan with a matched ducted shroud and the ability to move,
2500 fcm-3000 cfm of air should provide adequate cooling for most engines.
adding an auxiliary oil cooler certainly helps
Keep in mind a well designed 7-8 quart baffled oil pan adds both durability and helps reduce cooling issues
and if you have an automatic transmission Id add a electrical fan cooled trans fluid cooler