(The rationale I added later.)
The way to deal with trolls is to have everyone just ignore them. But as the folk wisdom goes, ‘everyone will not just’. In the couple of hours it takes to close and delete the rant through normal means, someone will inevitably post a comment and engage with the troll. And the troll will just latch onto that little nugget of narcissistic supply as an excuse to post further abuse. To prevent that, the abusive questions should be closed, locked and deleted as quickly as possible. As they say, what deters in a punishment is swift inevitability, not harshness.
So I think the problem is not fast enough action. If you need an objective process/criterion to accomplish this, here’s my proposal: implement a moratorium on gaming questions.
Meaning: any question submitted from an account with less than 200 reputation that mentions video games, consoles, arcade machines, emulators, controllers, cartridges or other peripherals can be flagged to ask a diamond-moderator to unilaterally close it and disable comments. (Maybe with a link to this answer as explanation.) If re-opened, the question would no longer be subject to the moratorium and may be answered normally.
The moratorium would be indefinite, because I don’t want those trolls just ‘wait it out’ until some arbitrary deadline is over; I want them to actually go away. When they do, we may think about lifting it.