It took 21 days, but the eggs started to hatch today. They have hatched with minimal input. Only one time over the last 21 days did I moisten the peat moss substrate as the peat moss remained moist underneath the plastic sheeting I placed on top of it.
In the 21 days I had to remove mold from the substrate one time, the same time I remoistened the peat moss. Today when the babies started to hatch, there was a fair amount of mold that had reformed. I imagine this has negatively impacted the hatching of at least some eggs.
In total I probably spent about two minutes over the past 21 days maintaining the incubating eggs. I didn't have to provide any humidity to the backyard farm, and I provided no additional heat asides from the heat that was given off by the heat lamp heating my adult crickets. These could have incubated in as little as 9 days by maintaining the exact right inputs, but for a quick and cheap method, I am happy with 21 days.
This green mold formed throughout my substrate. It probably would have been worth a few extra minutes over the past three weeks to remove this mold.