I have stumbled across sites online that offer flasking services. Since that is so far beyond my scope of orchids right now I've never ventured into the sites, much less bookmarked them, so I have no idea what is involved with these folks outside of sending them your seeds - no time frames, costs, etc. I did notice one that would send you the flasks back once established but again no idea what is involved.
I can't help but believe some local orchid societies or nurseries might not have someone who is that deep into hybridizing that might provide that service as well. The medium and flasks are available online but there is so much more than just throwing everything into a bottle and waiting.