I'd also recommend aiming for LH LAX-FRA/MUC-XXX at 70k if you can find dates with them available.
Then check frequently within T-14 (and T-3/2/1) for 110K LH F awards and change your ticket for free (1K). LH often only release 1 F seat at a time, but it can occur right up to the departure time (i.e. incl. same day). LAX-FRA/MUC is a great flight length for LH F. ^