My first question is - Do you have any data indicating you need an oil cooler?
My twin turbo SBF doesn't have one. I recently installed an oil temp probe in the oil pan so I can monitor the temp. Highest I've seen so far is 220deg F after extended engine running time. This was with ambient temperatures in the 85-90deg F range. I do have a 7 quart oil pan and OD so I can cruise 70mph at only 2200-2300rpm so that helps.
My suggestion is to first have a bung installed in your oil pan so you can monitor the temperature. This is important for 2 things. One is you want to make sure you have a minimum safe temperature before you run the car hard (oil that is too cold doesn't flow well). Second reason is to see how hot your temperatures get. Oil temperatures should get to at least 200-210deg F to boil off any moisture. Anything up to 240deg F is fine even with conventional oil. Above that temp you are still fine with synthetics up to approximately 280deg F.
Based on my experience, if you have a 7+ quart capacity oil system, I'd be surprised if you ever exceed 240deg F during street driving. At the track, you will probably see lower temperatures.
Coolers are typically only needed for engines that run at high output for an extended amount of time (road racing, Nascar, etc). If you do install a cooler, you definitely need a thermostat otherwise your oil may never get to a good minimum temperature.