The Commonwealth Fund’s Health System Data Center breaks down lots of state and local data, and includes searchable data on child health and long-term care.
These files are PDFs of charts, not downloadable Excel files (although their communications shop can probably help if you are looking for something specific). But there are queries you can fill in, and the site will generate specific charts and comparisons for you.
State scorecards
Child health scorecards
Local scorecards
State scorecard data tables
State profiles and scorecards
Long-term scorecards