A cane toad farm would be a place where cane toads would be raised for the bounty.
Handling cane toads is not that difficult, they don't release the poison unless squeezed but they will urinate when handled roughly (side story - used to pick tomatos and a rotten tomato fight would break out every couple of hours. Cane toads were also used. imagine a toad landing on your bare back in a pool of cane toad urine). But the people would have to kill them on the spot, transporting live toads is (rightly) an offence.
I can remember when I first lived in QLD we had a major infestation and I used to clear out the property every night using a golf club (It was quick and cheap), on bad nights I'ld kill 50+.
Lastly crows have learnt to kill and eat cane toads. We had a wild crow that used to follow me in the plant nursery, when I'ld find a toad it would be thrown out into the open. THe crow would walk up to the toad, wack it hard between the eyes with its beak, pick the stunned/dead toad up by a back leg and fly off. 10/15 minutes later the crow would be back following me again. I never saw the crow actually eat a toad but I have seen gutted dead toads. Crows are supposed to break the belly skin and eat out the intestines. Unfortunatly toads tend to be nocturnal and only rarly encounter crows.