Thermocouple transmitters generally do not operate beyond 85C (185F). What you do is place the transmitter away from the heatsorce, and run a thermocouple wire into the hot zone. The transmitter reads the temperature and translates that data into a digital or analog signal that you can read.
Here is an example of a dirt cheap one that turns a type K TC signal into a standard 4-20 mA output:
http://www.newegg.com/Product/Product.aspx?Item=9SIA3XT1JU2001
Once you have a more standard 4-20mA loop current you can run that into something like a 4-20 mA Sensor Board for Arduino, which can then possibly be accessed over bluetooth. It would not be easy to set this up though, you'd have to really know what you're doing. It would be much easier to simply use something like a thermocouple transmitter with a usb interface. You just plug one end into the type K TC wire probe and the other end into the PC and read the data.