Shrimp are great with cory fry I agree. They keep the substrate spotless for the corys.
I've never used antifungal meds to hatch the fry but as far as I know it needs to be removed just prior to the eggs hatching as the meds can kill the fry.
The way I raise cory fry is nothing special. The tank is setup with sand(to prevent harmful bacteria on the bottom from growing), plants(fry love the cover and provides natural food), almond leaves(infusoria grows on them when they start falling apart, also provides cover and tannins good for the fish) and heavily overfiltered tank with lots of oxygen, because of the amount of food that goes in daily(using sponges to block intakes or appropriate filters). If one feeds less because of the water quality, then fry start dying from starvation instead or get malnourished and stunted. And water changes all the time!!! especially if you are raising a big batch of fry.
And I feed mine tetra baby in the beginning, then start adding all types of food, whatever I get my hands on and is small and soft for the fry to break down, also chopped blood worms, hatch some brine shrimp, whatever you can think of but I supplement with the tetra baby food all the time, presoaked and put straight on the bottom. They eat that for at least a couple of months.