Sorry. Typically sensors like that are built in to processors that might run hot due to high power. Do-more actually uses an FPGA based soft processor, which does not run particularly hot, and the part we use does not have a provision for a temp sensor, although I think some of the higher end parts do.
As for how it will behave when over temp...well...it'll work great, until it doesn't. The nature of failure is really hard to know. We have pushed them hard and they are pretty hard to break. That said, you need everything in the system to work well, so I wouldn't plan on running beyond the published specs.