Engine overheats and shuts off?

Hello, I was driving it one day and out of nowhere, the gauge shot up really hot. I pulled over and let it cool down. I did this three times total before making it home and the car shuts its self-down because it is overly hot. I got the car looked at and the first thing the mechanic changed was the water pump and thermostat. He took it for a 10-minute ride again it shuts down. There is no oil mixing with coolant or anything. So, another mechanic suggested changing the radiator. We did and same thing. Within 10 minutes the gauge shoots up and it's too hot to drive. Now I have no idea what to do. Is there anything I didn't check that I need to get checked? Is it an electrical problem? One mechanic plugged it up to one of those diagnostic readers and he said over 19 codes came up. But he wasn't sure if it was accurate. I'm just pretty directionless and now my car is just sitting. Is it possible the car is savable? It will crank if it gets a boost off, but 10 minutes and it gets hot and shuts down.