Chimney through roof overhang?

I'm putting my chimney out and up the wall. It will pass through the roof's gable overhang. Unfortunately the chimney requires 6" inner + 4" insulation + 4" clearance = 14" total diameter/width - but the overhang is only 12" deep. Thus, I will be needing to cut out a "notch" in the overhang.

Has anyone done this? Photos? Tips, pointers, or other advice?

The pipe is Selkirk Supervent 2100. Total pipe diameter is 10" and 2" clearance to combustibles is required. I did phone the building inspection department to ask if there were any options available for shielding or insulation to reduce the clearance and he said no.

The installation instructions say no offsets permitted.

I haven't seen anything available here (Yukon) with less than 2" of insulation and to be honest, with a catalytic stove and exterior chimney that is not straight up from the stove (out the wall) I want as much insulation as I can get.

Thanks for the photos. The longer horizontal pipe is a good idea for avoiding "the cut" - but because our driveway and a couple windows are on that side, I would rather have an ugly cut.Interesting to see the install where they cut into the fascia. In my case I have to completely cut through.

I'm thinking of just cutting a square-ish notch into the overhang. Because it is near the peak of the roof on the gable end (a few inches away actually) there isn't much "uphill roof" to feed water into the gap. I am going to leave the notch open and trim up the inner edges of it with wood the same as the fascia - no big flashing piece covering the gap.

I am guessing I just leave the "uphill" and "side" shingles hanging over the edge (is there a drip edge type thing I should install here?) and maybe bend a piece of flashing over the "downhill" side of the gap to keep water from getting under the shingles?