I know it isn't what you want to hear, but keep trying. Try harder. You had a cat in your home and it was happy. Then you fucked up its entire world with two more cats and you're kicking that cat out? Not fair, man!
How long have the 2 new cats been around? The last time we made the mistake of bringing another cat in, it took 2 god damn years to get it sorted. It wasn't fun, but we created the problem and we saw it through. And I don't mean to play the moral high-ground here. I'm just wondering if there isn't more that can be tried or done. Do you exercise the shit out of the calico? Do you try to get them all to play together? That aroma crap (didn't help us, but who knows)?
They're fickle creatures and they can't be bent to your will. But you can outsmart them. Or at least I hope you can. Or write-in to that goofy son of a bitch on TV that runs around with the guitar case full of cat toys. Regardless, if you can't find a home and you send it to a shelter at that age, you're most likely either putting it in the 'pen' for life, or you're putting it on death row. Someone could always adopt it from one of those places and put it in a shelter that DOES euthanize. Or they just let it go.
Either way, best of luck with it all.