I use the metal heated base with galvanized three gallon waterer on top; two of them for my flock. I'm not willing to play with aquarium heaters, not intended for cold ambient temps. Glad it works for you, but I'm not trying it here. Mary
For one I just did a proof of concept for the common glass aquarium heater and it worked just fine and I see no reason beyond waste that it would cause an issue as long as it's submerged so it doesn't over heat, although if there is a power failure it could potentially break if it was a glass one, as for the one in my 55 gallon drum that is an entirely different story...
So I'm not sure where you are going with "not intended for cold ambient temps" the 250W titanium heater (and almost all aquarium heaters) are simply resistive heating elements in a waterproof titanium shell, it really doesn't care what the ambient temp is, it simply turns on and off when heat is called, just like any resistive heating element... Being in a titanium shell, if it happened to freeze it's not going to break like a glass one, that was the reason I choose titanium over glass... The custom thermostat unit that I build to control it is quite happy in the ambient temps it's functioning at, and even well below, it I designed it to read to -50F even though it never gets that cold where I reside, normal winter temps are a cake walk for it... So my setup is in fact designed to operate in the cold ambient temps and hold the water at a moderate 40°F, it serves no other purpose or design as built... And there are plenty of over the counter thermostats designed to work in the cold, heck I use a 'cold weather' thermostat to run my furnace in the coop when I use it...
One thing to note when designing heating devices is your focus is on degrees of rise required and volume (aka BTU) you need to heat, ambient temp is really irrelevant in the equation most of the time, as it takes the same amount of energy to take something from 70° to 90° as it does to take something from 20° to 40°... A BTU is the amount energy needed to raise one pound of water by one degree F, ambient temp is really irrelevant...
As I clearly stated using a cheap glass aquarium thermostat is not ideal, but it will do the job if you take precautions...
What about a bird bath de icer. I'm using a five gallon bucket with nipplers on the bottom
If you water bucket is plastic you might have to build a cage to prevent it from touching the bucket and melting it, you also might have issues as the temp drops as the deicers are just that, they are designed to keep a hole open and free of ice in and around the immediate vicinity of the heater, in many cases they are not designed to heat a volume of water above freezing... I know some people here have used them so it might be best to find them, I didn't even bother as I know full well that that ~50W bird bath heaters were not going to work for me to heat 55 gallons of water...