You're the one says why do ethics matter in breeding threatened 'toos, that human curiosity and amusement trump plain old doing things for the benefit of the species? And no one would offer to create such a hybrid for you, so now you ask about how to keep two large 'toos at once? Are you thinking of doing the breeding yourself?
There is more to the world of parrots than meets the eye. They are celebrated in story and song, used as attention getting devices in movies and tv and magazines, because they are pretty and can talk and are different than boring old ordinary pets. But there is a deep misery that underlies the interactions between parrots and humans. It's comparable to the easy romanticism we (mostly) used to see about the antebellum south: the lovely clothes, the gracious hospitality, the stately plantation homes. Old movies even used to show the smiling, singing slaves. The reality was horrific: enslaved humans, maltreated, beaten, ripped from families, laboring to support the lifestyle of the owners. I don't argue that birds are little humans. But there is a dark underside to the pet parrot trade, and that's what it is - a trade, a business. For every beloved parrot getting attention, stimulation, enrichment, love and care are there a hundred getting by? Another hundred shut up in dark basements and back bedrooms because the humans aren't willing to give the expensive thing they can't stand away? How many trees were cut down to rob baby parrots from nests, how many died in smuggling, how many formerly abundant species are extinct or threatened in the wild?
I wish Tweti's "Of Parrots and People" were required reading for potential parrot owners. She illustrates the incredible feats parrots can achieve, illuminates the miseries they too often endure, and lays bare the horror that lies at the nadir of the trade: the habitat destruction and the poaching. Every link in the chain is true. Parrots aren't less wonderful because people do wrong, the wrongdoing isn't made tolerable by the joy at the zenith. I say, know the spectrum, know the truth, and then we can at least make an informed choice.