Are there any programs that will help care for a WWll veteran and his wife, with "too much income"?

Is there any help for my parents who "make too much"? He is a WWII veteran with Alzheimer's'. She is a retired teacher who has compromised logic from a stroke 10 years ago. He and Mom married last year, after reconnecting from 45 years ago, and even though I love them both with all my heart, I am overwhelmed with caring for both of them. I thought I had round-the-clock care for them three weeks ago (after they both got out of the hospital) for a few weeks until a live-in caregiver could be found, but the caregiver didn't work out and now money is tight. As long as I have the strength, I am not sending either of my parents to a nursing home. They just would not be happy there. I have some type of undiagnosed illness that is sapping my strength so I don't know how long I can keep them out of a home. I have been the primary caregiver for Mom for 9 and a half years, and the primary caregiver for my new dad for two years. I need live-in care for them... the person can even hold a part time job or go to school. They can have two days off per week, but they must also pass a background check. All living expenses can provided, but I can't pay them even close to 2,000+ a month which seems to be the going rate for a professional... any suggestions??