It also possible to play the Heroes Chronicles with VCMI. You still need a completly installed VCMI (with heroes 3 sod / complete files).
You also need Heroes Chronicles from gog.com. You need to download the offline installer. CD installations are not supported yet.
gog.com download page:
For each chapter you will need a seperate exe file to install (if you want to install all, you'll need 8 exe files).
You can use the "Install file" button in the launcher to select the downloaded exe files. This process can take a while (especially on mobile platforms) and need some temporary free space.
After that you can select Heroes Chronicles from Campaign selection menu (button or custom campaign).