I haven't seen anyone else post the LH fare available for participants of the Star Alliance mega do. It is bookable in November and would accomodate participation in the DO as well as other travel.

Information about the DO is here

The fare is NYC to FRA and then returning to any LH gateway.- not just NYC. Additional segments on UA are $150. In Z class the fare (including taxes) is 1851.70. The fare sheet is here It is eligible for FF miles.

Full information on booking the fare can be found in the above mentioned post.