Blinded Veterans Continuum of Care Act of 2005 - Requires the Secretary of Veterans Affairs to assign at least one employee of the Veterans Health Administration (VHA) who is designated as a blind rehabilitation outpatient specialist to each Department of Veterans Affairs medical facility: (1) which has a visual impairment services team with a full-time coordinator; or (2) in which the number of veterans enrolled in the veterans' patient enrollment system who reside in the catchment area of that facility exceeds 150.