Hi Hebeegeebee,
Newspapermethod over crownboard hole usually takes ages - instead of leaving the frames I have seen them start emergency queen cells after they got access to the bees below!
Pull out sliding floor of mating box completely, spray in water/thyme-tincture mix, place on queen excluder on top of colony after spraying some "thyme-perfume"on the bees under the excluder, protect with empty box, take away roof from mating box to leave it open and cover everything with the hive roof.
Do not leave mating box in situ after the brood has hatched - it could become heavily propolised and do not wait for the bees to fill the mini-frames with honey - these little pieces of comb always ferment.
Install fresh starter strips in the frames and feed bees to get them drawn out - there will first be a virgin in the box when next season starts - no need or no reason to offer them drawn out comb for immediate laying because it will take some time for the queen to go on mating flights...
Regards
Reiner