Use the AS fares ex-IAD, each flight gives 30% of Distance as
EQDs and 150%
EQMs so each of these give 4,598*1.5
EQMs or 6897
EQMs R/T and 1379 EQDs...
Available most
M/T/W
You can fly two in First and then add one in Saver/Basic Economy to LAX at $189.
The grand total is 18402
EQMs and 2758
EQDs plus a few spare
EQDs from the Basic Economy fare.
You can probably schedule this a back to back to back so you only need to position once to the DC Area...