Well I would say yes, move this batch, that you do what you can do... that means that if you only have a net one and you want to try to save the fry, definately put the eggs in there. BUT, be aware of the dangers of the other fish attempting to eat them thru the netting. If you loose this batch for this reason you will have the experience for the next batch of eggs they lay.
You said they laid several batches... did you think about what you would do with 100+ Cory's? lol
Start a new business selling Cory's to the LFS's in your area!! Wow an aquarium that pays for itself, there's a novel idea!!