Replace Thermistor with Thermocouple in a circuit
It is possible, but it gets complex, you would end up needing a circuit like this, just for your use case that 3R resistor would be a much higher value, 

This is a constant resistance circuit, you feed it with a PWM signal (the output of the top left op amp), and you get a consistent resistance, the bottom left op amp is just a current limit, you can likely omit it for your use case, 

then you might have an op amp to amplify your thermocouple voltage, feed it to some cheap micro, or work out an analog way of converting it to a suitable PWM %

As to how it works, the circuit is a modification on a constant current load, and with the input being a % of the load voltage tracks linearly. if the voltage across the output decreases, the current set point drops by the same amount, so it behaves like a resistance.