You're right a fuse would stop major smoke/fire but the repair bill still involves a callout, board swap anyway due to a fuse being non user-replaceable. Oh yeah it's (stove) in a metal enclosure, the flaming burning board... house should be ok, open a window, who cares? Seems to be the mindset - no range manufacturer has any fuses on the boards.
Appliances are pretty much disposable now, a control board is either unobtainium or several hundred bucks. Just go buy a new appliance, consumers are made of unlimited cash.
OP needs a new board and igniter, plus labour for repair time. It's a lot of money households don't have nowadays.
Whirlpool Corp... annual revenue of approximately $21 billion 78,000 employees... Their management team believing cheap is the way to succeed, in the midst of Korean and chinese appliance mega-conglomerates on their heels.