Better yet, forget the number. Let the standard be the overflow at the usual shelters rather than the temperature. Let churches and other agencies that have room at the inn and in their hearts set their own policies about when to open their doors. Catholic Social Services does that now at the Brother Francis Shelter.
If a church or other organization is willing and able to provide backup at any temperature, it should be free to do so within the current bounds of fire safety, space and staff. Those who have offered a place out of the cold likely will continue to be generous.
Alaskans know better than most that there are degrees of cold. We also know that it doesn't have to be below freezing to make the night long and miserable without a roof, the right gear or the right state of mind. It's just a question of how fast it gets dangerous.
BOTTOM LINE: Don't read the thermometer, just meet the need.
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