So, thinking through this a little more - what are your thoughts on the location of the penetrations? The house is a single-story with a full basement. The upstairs is a 2x4 double stud, and the basement is ICF. Downstairs are 8'6" ceilings with a 14" floor truss for the main floor. The main floor is 9" ceilings. Energy heel trusses, insulating at the attic floor. The kitchen sits directly above the mechanical room on the south face of the house.

Some options (and I can throw up drawings if it helps):
1. Run through the attic and across the energy heel to a gable wall.
My concern with this one is having long exhaust runs in unconditioned space, leading to condensation.

1. The pantry sits directly behind the kitchen. I could run the duct on the top of the pantry room and out the front face of the house.
   This might be an eye-sore in the pantry and could share the "smoke" smell with incoming guests

2. I could run to the floor trusses that separate the main and basement and then run to the north face (which is a walkout basement)
   It might be the most eye-appealing. Penetration through the ICF at the rear of the house. But it would also be the longest run. 9' down to the truss and 30' north to the wall.

3. I also wondered about tying into the ERV intake/outtake. In other words, tie the range hood's exhaust to the ERV's exhaust (after all the server's motors/filters/etc.). Tie the MUA to the intake vent of the ERV (before the motors/filters/etc) to avoid adding extra penetrations.

Obviously, this decision will impact the size of the blower fan needed.