How about updating it when the data comes in? How about calling all hospitals? How about setting up a website for doctors to log in to? It is life-or-death data, isn't it?
I work in the healthcare industry. Our hospitals have a line with the CDC, and are getting updated with live data. A public-facing website isn't the primary way of disseminating this data.
It’s not just for hospitals. Regular people practice social distancing with up to date infection data. See South Korea’s data transparency. Exponential growth means 10x change from one day to the next, making live reporting crucial for saving lives.