Brick bell ? Double layer ?
Thickness of the stud wall? About 8 or 10 inches ? Less ? If not over 10 inches, a gap of two inches
should plenty. But not up to code in some areas. Where i live, you would need 18cm all around, if it is considered as a flue.
One idea popped into my head. You could also line the framing edge with U channel beams to cut whatever high heat might radiate from the bell. Mind you, mine, on a batch only goes to 60 celcius outer skin, on the coldest days, when the stove roars like mad.