I would think so. Tub is a tub. Main thing is proper air exchange plus humidity control. Like most saps in a bygone era, used regular aquariums with somewhat less than optimal results. Only problem with the painter's pail approach is amount of square footage surface to play with. Height is nice, but cakes do tend to do better from the sides for some reason. I swear the little bastards just love to defy gravity. In slow motion, but I still always thought of them saying "weeeeeee" when growing out at odd angles. (Yes, I know that's silly, but I am easily amused.) Or you can really go off the deep-end and get into the shared consciousness aspect with fungi. I'm still not sure on that one. Call me an agnostic of sorts.
Also smaller cakes were better. Stacking cakes worked out better than larger cakes. Was also less painful to toss a bad inoculated one out or exchange between flushes ones that crumbled.
Still, trying to picture this stuff from memory is like looking into a cess pool. I can almost make out the bottom, but its been too long.
Hopefully the experts around here that are active will chime in any time with some helpful suggestions. (hint hint)
Oh, and its not rocket science. Just have to find out what your contamination levels are and all the rest. Some places are more fungi prone than others. Healthy cakes tend to ward off the worse of it, but that was a major headache I eventually solved by removing carpet and learning lots of other near clean room practices to avoid. Arid environments oddly have more problems than you'd think with that sort of thing.
Rather miss growing them. *shrug* Just dont go chasing rabbits as much anymore.