I’ve used a MASTECH MS3300 for a few years and had good results with it. Here it is on Amazon.
Using kcouple: This takes both channels inside the meter, because what a thermocouple actually measures is the temperature difference between the tip and the reference junction (usually at the meter). So one channel of the Mooshimeter is measuring the thermocouple voltage (which gives temperature difference) and the other channel is measuring the absolute temperature at the mooshimeter itself.
Let me know if you have other questions, best