Which solid type would have both high boiling point and electrical thermal conductivity in the SOLID state?

...... The answer is : Metallic solid

An ionic solid has a high boiling point, but low electrical and thermal conductivity.

A molecular solid has a low boiling point and low electrical and thermal conductivity.

A metal solid has a high boiling point and high electrical and thermal conductivity.

A covalent network solid has a high boiling point, but low electricity and thermal conductivity (except : Graphite has high electrical conductivity).