Yes, You mentioned about server. I thought I also brought up that it is also battery backed up. It can stay alive when your have power outage.
It should be. I am using Bosch BME280 for temperature, humidity and pressure sensor. This is probably the best sensor there is. My DTH also have offset adjustment if you need to calibrate it further. You would get this out of the box.
In any case, If you find that you still have to use a probe, the sensor has expandable analog pin which you can connect to module like below. (sorry I posted wrong link on initial post).
https://www.amazon.com/Precision-Thermocouple-Amplifier-Electronic-Components/dp/B07L1522LB
Then, you can connect to K-Type Thermocouple. There is no coding need it for this route. But, you have to wire pins from module to module. I have the DTH for those to work. Thermocouple can work on extreme tempereature range.
The sensor has serial port that you can use as expansion. If you are looking to venture on Arduino development, you can do something like I just did last weekend.
Thanks
Iman