The problem with Benchtop DMMs is I do not have a good idea how to log the data from DMM in sync with other sensor data already running on the experiment (other parameters).
Thx again
That throws a spanner in the works. It is one thing to measure a temperature and hope for valid measurements over that range. Building up an entire data acquisition system morphs this project into a much bigger problem. Now given that many DVM's do have sync operations or capabilities, both hardware and software. The problem then becomes just how closely do yo need to sync. Many DVM's can operate to high resolution but they may not be fast enough for your needs, not to mention a sensor that is fast enough.
You described a process time of 5 minutes over all but did not describe how quickly you will be sampling data. If you are talking in the Hertz range you might get decent values out of many sensors. However if you are sampling data fast and it is important to have temperature data that is accurate at the same time other things are happening (data being collected) then you will need you will likely need a very fast transducer.
I generally have mixed feelings when people suggest that they need temperature readings to these extreme level of precision. The problem is everything in the acquisition loop is temperature sensitive. That is you can't look at what is happening at the transducer and hope that no outside factors have influenced it. In otherwords your need really good lab practices in the hopes that the results will be unmolested. I once ran into this problem with an R&D engineer that wanted a temperature display to be calibrated "perfectly". The problem was the equipment was very temperature sensitive to what was happening in the room. We would get accuracy shifts every time the air handling system kicked in. So I would expect that whatever equipment you are using is orders magnitude better than that old hardware from the 1970's, even so you want to make these measurements over a short period of time at a resolution that will likely be impacted by the environment.
This is why I like the suggestions above to go with a high resolution thermistor or other device that has high resolution. I'd also supplement it with another transducer as relying upon just one sensor for critical data does not leave me all warm and fuzzy. This assumes that your can get fast enough response times for your process requirements.