On your list of those who would not alienate Conservatives, Brownback is pro amnesty and voted against the surge and Huckabee same views.
They are not core conservatives.
Libertarian wing nuts like Ron Paul are anti war.
Huckabee and Brownback would have some issues, but have enough conservative cred to back track a bit from boneheaded things in the past and be forgiven. Paul I did not include, because he is a libertarian.
Hunter has no backtracking to do, and he never, ever mealy mouths an answer.