Sorry for your difficulties. Sounds like this is a regular thing for you. It is not normal! If your Spyder is still under warranty, I would see your dealer. There are a variety of cures. First, I am assuming your coolant level has been checked and is OK. Is your coolant cap tight, however? The Spyder cap feels like it is tightened at the first notch, but take some extra effort to push in again and turn to the second set of stops. An improperly seated cap will prevent system pressurization, and can also force coolant though the overflow.
A second possibility would be a faulty thermostat. There have been a scant few failures. The dealer can test this easiest. Third possibility would be a bad water pump. I have heard of at least one. If all these fail to produce a culprit, there is a service bulletin which authorizes the dealer to replace your fan with a fully shrouded fan, in cases like yours. Finally, consider
SpyderPops Missing Air Dam, which will force all the air coming in through the radiator.
You should not have to see a dealer to reset the computer. Limp mode due to overheating should clear, after the Spyder has cooled down and the key has been off a while. The standard reset for limp mode (after the condition has cleared) is to turn the key on and off three times. There is an explanation of the overheating limp mode in your manual, with the appropriate responses.
I know you are riding in a hot climate, but others are doing so successfully, so you should be able to. You may not be able to avoid limp mode if it is broiling, and you are in stop-and-go traffic, but the steps above should help. On the road, it should be avoidable. If not, you need a little help from the dealer, not just a computer reset. Best of luck!