I think this idea of having a "child of Khan" has some serious potential to it. Considering the Federation's outlook on genetic engineering, one has to assume Lexxa Singh earned her commission (originally, since she's apparently not in Star Fleet any longer) through Section 37, who I'd bet recruited her for "enhanced attributes".
She is not a "child of Khan"' its been four hundred years. How can you not get this?
$200,000 is a lot for a labor of "love" and there's no way this convinces anyone that Trek is a viable property for television. If the Abrams film making $400 million hasn't yet convinced CBS that Trek is viable on TV, an expensive fan film certainly won't.