I use the same basic recipe. Same pan from Lloyds, steel on bottom rack.
Have done dough same day (make it in the am, let it rise - punch down 1x) give it time to relax in oiled pan - cook later in the day.
I found better results with making the dough prior day, let rise for about 5 hours, fold 1-2x within the first 3 hours. Put in fridge overnight. Remove from fridge around 11am - let come to room temp. Put in oiled pan around 1-2pm, stretch, let rise in pan until cooking around 5-6pm. Never tried a multiday cold ferment with Detroit. My normal pies do best with a 3-4 day cold ferment, then less desirable results.
On Detroit I use Muenster cheese (Brick is only available mail order for me - and end result is not significant to me between Brick/Muenster). I may also add a little sharp provolone. I tried a Grandmas pie using same pan, dough, process but mozzarella vs Muenster. Mozz browned much more but did not give the same desirable burnt edges as Muenster. Dough has never been a problem, except when sauce was too runny or trying too low of an oven temp. 500 works best for me, about a 15 minute cook.