For most temperature aspect where I need a certain tolerance.. I tend to use these rather advanced process meters/calibrators that usually have a decent tolerance.
and gives you numerous settings for cold junction compensation.. [internal, external & custom].
While on spec, I recall it's 0.05% on most of the thermocouple standards (in) while out its 0.05% on a few and a tad higher on some of the other TC-standards.

It's this unit below, which is a multi calibrator/process meter from Hongrun Precision Instrument.. a unit that can both source & measure.
It also has a 9pin USB3 socket at the bottom intended for its "external-cjc" that seems to correspond to a cjc-USB3 dongle that comes incl.
Programming, logging, and its Bluetooth ability, that the manual mentions.. I'm not sure how that all works in practice, if at all.
It got quite a granular +/- voltage range down 1uV on its 110mV range in source & measure and gives fine control on many of the temperature-related standards..


