With a square yard of mesh material, you should be able to basically line the sides of the tank and leave about an inch from the bottom, so that the pair or group will still have most of the tank space to breed in. The netting does not distract them. Put your clump of java moss, plants, or spawning media in the netting. A bare bottom tank is best to make the eggs most visible to the naked eye. They are very, very small! You can shine a flashlight across the bottom to see them best, but don't do this much longer than a few seconds, because they are light sensistive.
They won't eat the eggs immediately, because they are focused on spawning, but they will eventually find them if you don't pull the pair once their done. If they don't find the eggs, they will surely find the fry. They love live moving food.
Your water parameters seem pretty close to what I was using, so let's not change those yet.
Try the netting with a bare bottom tank, some fresh water, and temps in the mid 70's. Once you notice eggs on the bottom, pull the parents out, separate them if you can, and keep all males separate from the females.
Now, wait it out for a few days to see if the eggs hatch. They could also not be viable. If any eggs turn opaque white, then they are infertile, will fungus, and not hatch. While the pair may spawn, one of the fish might not be mature enough or too old to be fertile. If the water is too hard, they will not hatch. Healthy Neon eggs look translucent pinkish/orangish, but not white. So if the eggs look healthy and don't hatch, you should try softening your water. Since you're getting them to lay eggs in the first place, you're off to a good start.
You need fresh, clean water with the lowest possible readings on any form of Nitrogen. In nature, these guys breed in the wet season when the banks of the streams over flow into the flow plains on nutrient deficient lands with decaying plant matter, so the water parameters are acidic and very soft.