Informations about the BaSTI contents can be found at the following links:
SCALED SOLAR MODELS :

Canonical - Normal
Canonical - AGB-Extended
Non Canonical - Normal
Non Canonical - AGB-Extended
Non Canonical - White Dwarf

α - ENHANCED MODELS:

Low T opacity adopted
Canonical - Normal
Canonical - AGB-Extended
Non Canonical - Normal
Non Canonical - AGB-Extended
Non Canonical - White Dwarf

For a more detailed description read the BaSTI Bibliography