Hi,
Thats the usual case with Google searches, finding the right words, before you suddenly get a flood of Banggood or AliExpress ads... 
Tom... 
I have a ThermoWorks probe and readout for my grill. I've had great luck with it. I've melted may of the cheaper eBay connecting wires, I expect due to flair ups.
I would use a table, you have a limited temperature range and a table with interpolation would be the most efficient (IMHO). Note: you don't need equal temperature spacing with interpolation.
That's great. Do you remember which probe you used? Was it a simple thermister? Did you try the Steinhart-Hart Equation method for calibration? How did you connect the probe? Did you simply connect it to the analog-in or did you use an ADC or condition the sense signal in some way?
None of the above 
I purchased the complete probe with readout and alarm.
But NTC's are pretty simple. Measure the resistance in a combination of water and crushed ice. And at boiling (which for my testing has always been a degree or 2 below 100°C.
Then compare it to some published curves and you should find a complete table of resistance. I don't know about BBQ temperatures but I know above 100°C the NTC curves flatten out quite a bit. I think a table will be much better than using the S-H equation. I don't think you will need 0.1 degree accuracy and I don't think the temperature is so stable in the cooker that 0.1 degrees has any meaning.
Ha! That's cheating. Just kidding. So did you use the arduino board at all?
I live in a country that went metric from Imperial. The point is not to always use one or the other, but to specify which one you are using, when you are not just talking locally.
No this is just my oven cooking thermometer. No need for an Arduino here.
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