The odds of successfully growing large numbers of orchid seeds are through asymbiotic and symbiotic in-vitro methods. Ludisia discolor has been propagated this way.
I'm not sure about the Ludisia discolor seeds being sprinkled onto the surface of the potting medium that the mother plant is growing in will work. The type of mycorrhizal fungi that the seed needs to germinate present in the soil may not be the correct species. Which specific species of mycorrhizal fungi that does this I can't tell you, but I can say that it most likely belongs within the genus Rhizoctonia.
Also, in order for orchid seeds to be able to germinate using ex-vitro methods, the seed would have to have a small store of endosperm (food stores). To my knowledge only a small percentage of orchids have this. I know for sure you can try sowing Epidendrum, Pleione, and certain Disas using an ex-vitro method, because they have just enough endosperm to help them germinate. Although when I tried using the sprinkling of the seeds in the potting medium of Den. kingianum, I did notice how some of them turned green. So it is possible that you can try an ex-vitro method of sowing Den. kingianum as well.
One ex-vitro method of sowing orchid seeds is the sphagnum moss method. To my knowledge some people have already experimented with this method. I know some people here in the US have tried it with success. But I'm certain many more people in Europe have also used this method as well.
Although I've never done it before, I keep running across this in my research to sow orchid seeds in general. The sphagnum moss method is done by sterilizing the seeds or seed pod (if you green seed). Then you boil the sphagnum moss and put it in a glass jar then spread the seeds onto the sphagnum after the moss cools. Cover the seeds with plastic wrap and wait about a month.
Another method I've read about is using the piece of bark. I don't know specifically what kind of bark they're using though. You have to research this more, because I don't know this method too well.
As for seed pods, Troy Meyers Conservatory has a website with text and pictures you can look up on it:
Flask and Established Seedling Sales, and Flasking Programs
There are also symbiotic in-vitro methods used in Europe, particularly Germany. Look up this terrestrial orchid forum:
Terrorchid - Terrestrial Orchid Forum, Gallery & Wiki - Dedicated to the culture and care of terrestrial Orchids
One last note, it's entirely possible that Ludisia discolor does have small stores of endosperm in the seeds. Good luck.