MarkusD, I would look into an extended warranty of an extra 60,000 miles (120,000 total) that was offered to owners of cvt tranny if not over original 60,000 miles and the transmission oil was not replaced by anyone other than dealership or warranty of tranny will be invalid. If able to receive extra miles then just keep driving car until the tranny breaks completely down...not able to move in any gear or reverse. Then dealership/Nissan will replace (not rebuild) tranny free if not over the total 120,000 miles. This is exactly what happen to me at exactly 100,000 mile and on a 300 miles trip...long distance drive heats up and destorys these trannys.
If not able to receive the extra miles coverage ask 'why not'!
Don't bother spending more money than you have to on dealership diagnostics cost if the problem is not present. That's where they make back some of their money. The tranny needs to be 'broken' (not able to move car in any gear) before they will admit to any responsibility for repair.
Now you can just pay dealership to put the external cooler kit on and hope it works but I would still try for the extra miles warranty. If you have someone else put the cooler kit on besides the dealership then I bet the dealership/Nissan will not honor the warranty.
If you decide to do this on your own then:
The cooler 'inset' or plate is available on Ebay from time to time ( I just bought one and should arrive this weekend) cost between 130.00 and 150.00 (...don't know why?? I watched item and eventually paid 130). Everything else will have to be purchased (radiator, hoses, clamps,oil fluid, etc.) as well. ( I bought Hayden 678 cooler kit from local PePBoys for 60 or 70 and will not use any other brackets. I believe I can make this work without brackets.Bought Nissan oil 1qt @ $20.00...yikes!!)
Sorry for long post. Hope this info helps you and others. Good luck!