I'm posting because I'm wondering if I'm missing something. Can you get an accurate enough temperature by placing a thermometer on top of the bucket? I know this is ambient air temp, and the fermentation adds some heat to the liquid in the bucket, but isn't the ambient air "good enough"? (yikes! I hope so, because if not, then I'm not monitoring my temp close enough!)
Most of use your thermometer strips
on the side of the bucket, about midway up. If you are using a swamp cooler, than above the water line. And yes, it works "good enough" for our needs.
You can also add an aquarium thermometer to your swamp cooler, and pretty much after a couple days all the liquid should be close enough in equilibrium temp wise, unless you are adding ice, that it will give you an good enough idea.
You have to realize, that although we stress temp control and keeping the ferm temp in the ideal range of the yeast.
We aren't talking needing minute by minute precise temp monitor, with triple back up and feedback loops. This isn't a nuclear reactor core.
And your beer isn't going to go "off" if you don't know exactly the core temp at any given time. Or if you look at it finny. It's going to be beer, and probably good beer, no matter whether have a accurate temp reading or not.
Beer was brewed successfully long before ss steel glycol cooled fermenters, and will be brewed long after the zombies eat our brains and the "King of the sacred barley water" trades slave girls for drinkable liquid.
Just having a basic awareness is fine. "Hey my apartment gets in the 80's in the afternoon, so I guess I need to rig up a swamp cooler for the first few days." And then rigging one up is going to be enough to be the difference between making great beer and making good beer.
Back in the old days they brewed seasonally, using more heat tolerant yeasts in the warmer times of year,
or they just fermented in a cave, or a cellar.
This isn't a newborn baby, so we don't need to be uber anal about the temp every second. Looking at a strip and saying "hey it's fermenting
around 63 degrees" is going to make just as good a beer than knowing that the beer is 63.8 degrees near the wall of the bucket and 64 degrees at the core.