We rescued one little kitty at about 9 weeks and he regularly got up at 1:00 and then 5:30. We left food out for him, but he needed attention. My hubby was in on this with me, but used to be a cat-hater, so it was really difficult and stressful at first. My solution, initially, was to sneak out of bed and play with him until he tuckered out again. At the 5:30 wake-up call, I'd sneak out and feed him and play with him. Yes, I was completely sleep deprived.
One week later, we rescued his brother. It sounds to me like that's not an option for you. It solved our 1:00 in the morning problem, but not the 5:30 - not at first. After about a week or two it did. They wait till we're up for "breakfast" (some wet food. We still leave dry food out for them).
The stuffed animal idea is great, but if you can afford it, you might want to consider getting one of those stuffed animals for infants that make heartbeat sounds. A lady at the pet store recommended just a cheap old-fashioned tick-tock clock wrapped up in something soft. That would probably work too. Leave it on in kitty's bed before you head off for the night.
One last option - would hubby consider taking Zyrtec? I'm terribly allergic to cats and have other allergies as well. I switched from clarinex to Zyrtec, and it works great. Kitties are allowed in the bedroom with us now, and one of them often ends up sleeping on a pillow above my head. If hubby would take Zyrtec, maybe kitty would sleep quietly in a bed on the floor next to you, thus not wailing when needing attention. Kitty could hop up on to you, and not wake up hubby this way.
Good Luck! And PLEASE let us know what happens, even if you have to give kitty away! Sending hopeful thoughts and quiet kitty vibes your way! Sounds like your kitty would have a wonderful caring mommy. I really hope it works out. I've never had cats before, and this June they walked into our lives. We love having them - I can't imagine having to get rid of them now! But we'd be here to share your sorrow if that's what happens. I'm praying for good news.