Is there a recommended controller for Wakefield thermoelectric cooler?

The controller mentioned would appear to be a viable option for the unit in question. I suspect however, that it’s fairly common for folks buying a TEM assembly to simply connect a voltage source of the nominal rated value and accept whatever performance/behavior results.

Maintaining a specific temperature set point or optimizing performance is a bit more involved, and calls for building a thermal model of the system. While the particulars will differ from one instance to the next, the concepts are pretty much the same regardless of what module one chooses.

Some other posts likely to be relevant are: