Thanks for the quick reply! I understand the ADC limitations of other devices, but it seems like there should be some way to interface four thermocouples using one MAX31855 chip. If there was a way to switch the input delivered to the chip at the same clock rate of sample by the Arduino then you could have a seemingly infinite amount of channels!
My problem is that I am unaware of a solution to achieve the input switching on the thermocouple end of the MAX31855 board. Is there a way to make that happen, or is the voltage so small that it really is the best plan to have a dedicated amplifier for each TC?