Distance from the sun for tidally locked world

[Lewx_Lucas]

I am creating a terra-type planet which is tidally locked and characterised by three differing types of environments. A hot to scorched solar pole marked by unstable weather, a very broad terminator with warm to cool temperatures, and a night-side characterised by being covered by ice.

The planet is located in a twin sun system with a yellow Sol-like star (A) and a red dwarf (B). The planet orbits (A). How long from (A) must it be to not become "too" scorched?

Here is a rudimentary map. Interpret it yourself. ^^

http://i.imgur.com/G2IWUhJ.png