have you considered trying to find out who in that department has recently _left_ Netflix? That way you can pretend you were in touch with them thereby promoting you from unsolicited to solicited.
I noticed that you were getting downvoted and I am curious why.
Is it because people don't like what they think is the dishonesty of the idea?
Or because they don't think it will work?
Or?
I think it's a fine idea.
I have done similar things (not in pitching netflix) and it has worked. It's amazing how quick people are to criticize something that is foreign to how they operate or think idealistically the world should operate.
Remember that if all salesmen had the ethics of developers.... well the world would actually be a much better place but if some do and some don't then those that don't are not seen. Something like that... its just the old cold calling salesman within me looking for ins :).
Generally I would not recommend such behaviour but in regards to cliques and arbitrary walls where meritocracy is unwelcome I would recommend skulduggery.