If trying to keep them growing, what space do you have? Light?
I have had another Colocasia, which even in low light tries to keep growing- but is terribly prone to spider mites.
Does the Alocasia have a trunk? MIne does, and will survive having leaves chopped off and left dormant till spring.
I can't say I know enough to advise, but these might be good to have answers before the next person comes along.