Are there sources where I can find information about infectious disease (say, plague, hepatitis, polio) outbreakes in modern Russia? Typically, a disease outbreak is followed by a warning issued by public health regulators: are those kind of data archived and tallied? I'd prefer to have the data grouped by regions. A go-to resource at FSSS lists surprizingly little about public health.
There are also many sources of statistical information from Russian federal authorities (or their territorial bodies):
Rosstat statistics (see my comment above);
Minzdrav annual reports (an example);
Rospotrebnadzor annual reports (an example).
Unfortunately, all these sources are rather unsuitable for your needs.