I think your appraiser architect is going to be one bored puppy. You might consider putting those skills as secondaries to more often used skills. Example: why miner/stonecrafter This means you can either be enlarging your domain or (assumption) making profit. Seems like you might want to do both at the same time.
When I think through the opening of the game I try to get the first 7 dedicated as much as possible but spread that dedication such that no (little) idleness early on. Once you have a sufficiently large population, then idleness if merely annoying (early on it can be trouble - think orcs,etc).
It seems like at first you will need:
Mining
Food
Hauling
Mechanic (levers, bridges, traps, etc)
Beds
tables/Chairs
Weapon Production (depends on starting purchases) or wealth creation
While 2 miners is good, you can actually survive with 1 - just dig dirt first.
So maybe something like:
Miner/Trader
Farmer/Brewer
Hauler/Weapon Smith
Mech./wood burner
Carpenter/wood cutter
Mason/Apprasier
Furnace Operator/Architect
the other restriction you haven't discussed is Military - who can be part of it? You might want to require training before hand, in which case I would go:
Farmer/Brewer
Hauler/Carpenter
Mech./wood burner
Axeman/wood cutter
Mason/Apprasier
Furnace Operator/Architect
Also, some people hav pointed out that Mason can't do anything that a Carpenter can't do (as far as what they can make - just has to be made out of wood instead), so you could actually cut the mason and have back the weaponsmith (or armorsmith or stone crafter or the other miner).
If you don't mind selling food, get a cook instead of the weapon/armor-smith. Happiness + money. Though you would have to focus on cage and stone traps.