The increasing use of Artificial Intelligence (AI) in care services offers significant potential to improve the quality of life for people with disabilities, while also raising important ethical and inclusivity concerns. This study examines the ethical and inclusive design of AI care agents, emphasizing human-centered principles that support autonomy, dignity, and emotional well-being. This study employs a quantitative research approach using a cross-sectional survey design. Data were collected from individuals with diverse physical, sensory, and cognitive disabilities who have experience interacting with AI care agents. Measurement instruments were adapted from established ethical AI, inclusive design, and technology acceptance frameworks. Humanistic well-being was assessed using the WHO-5 Well-Being Index. The data were analyzed using Structural Equation Modeling (SEM) to examine the relationships between ethical AI design, inclusive features, user trust, technology acceptance, emotional support, and well-being outcomes. The findings indicate that ethical AI design significantly enhances user trust and perceived emotional support, while inclusive design features positively influence technology acceptance and emotional engagement. User trust, technology acceptance, and emotional support significantly contribute to humanistic well-being, with emotional support emerging as the strongest predictor. This study contributes a quantitative empirical model demonstrating how ethical and inclusive AI design principles translate into measurable well-being outcomes for people with disabilities. The findings highlight the importance of integrating humanistic values into AI care agent development to ensure equitable, responsible, and sustainable digital care innovation.