Community Integration Act of 2020 This bill requires a state Medicaid program to, with respect to an individual who requires a level of care provided in a nursing facility, intermediate care facility for the developmentally disabled, institution for mental disease, or other similar setting (1) provide the individual with the choice and equal opportunity to receive such care in a home- and community-based setting; and (2) meet specified requirements relating to the provision and availability of care in such a setting, including a requirement to develop a statewide plan to increase affordable and accessible housing for individuals with disabilities.