Most of us have not used any device to measure the temperature of our tap water, cold or hot. Mine gets cold enough for me to drink it, but I prefer it a little colder, so I put some in the fridge. It gets even colder if I put it in the freezer. You seem to be using a small amount, so you could certainly do the former, and keep enough on hand for photo development.
At work, our ice maker stopped producing ice. The water from the fridge is a bit colder than the water from the tap, but it "warms" up faster without ice of course, so that causes more trips to the fridge to replace the warmer water with cold water. I started putting my (hard) plastic cup in the freezer with a little water in it. I found it interesting that it freezes from the outside in, which most have probably observed in an ice cube tray. I was able to poke a hole through the top surface and pull up a hollow disc. I thought that was cool. I have now taken an ice cube tray to work instead.