Hi epicurus. You already posted this in the AA forum. Please note that double posting is not allowed under FT rules.
As for your question, you should provide us with some more information. Your profile lists NYC as your location. Shall we assume that is where you are flying from? Is either of the three NYC airports okay? Are you looking to do it in one trip, or is two okay?
It might be difficult to find a good fare since you need the flight very soon, and you likely won't get a "MR fare." Since you didn't tell us why you need the EQM, only you can decide how much you are willing to pay. Maybe just find the cheapest TATL destination and just fly? You can use ITA and plug in a whole bunch of destinations.
Have you considered combining your mileage run with a HHonors mattress run by spending a few days in Helsinki? (Lga-Hel via Ord will net you 10K eqm.) Bonus: you get to escape the oppressive heat in the US.
