It may be easier getting a flight to Paris, London, Frankfurt and then buying an onward ticket, which can be quite cheap if bought in advance. BA have a morning flight at 8am direct to SOF from LHR which connects nicely for transatlantic traffic arriving at 6am ish. You should be able to get an economy ticket for £150 ish and a business ticket for £400 (non flexible of course) - best to buy if on aa.com and get AA to link the bookings, rather than use BA.com or a travel agent.

PM me if you like - I live out there and can give other advice.