Most of the potential majors that you mention above – including “business”, “public health”, “nutrition” and “public policy” – are not offered by most highly ranked liberal arts colleges. This would include highly ranked women’s colleges, like Smith, Barnard, Holyoke, Bryn Mawr, Wellesley, or Scripps.
The top LACs don’t generally offer professionally-oriented bachelor’s degrees. They would typically recommend that you major in a traditional liberal arts field as an undergraduate, then go to grad school somewhere else for a suitable professional master’s degree (like an MBA or MPH).
Most top LACs will have “environmental science”, as well as traditional undergraduate science majors like biology or chemistry. They will typically offer “economics” (which is more theoretical) as opposed to “business”.