Healthcare is one of the biggest industry with amazing growth in the last 10 years. This industry is expected to employ more than 16 million people by 2016. This is larger than the leisure and hospitality industry.
Based on my research one healthcare company does a lot with telecommuting opportunities. As of Nov 1, United Health Group's website has over 262 job opportunities where telecommuting is required or may be allowed. Job titles include Clinical Administrative Coordinator, Claims Project Manager, RN Part Time Wellness Promotion, Social Worker Care Coordinator and many others.
Also, as standard practice take a moment to read the company reviews from current and past employees. I used Indeed.com.