Here is my thinking.. Why in heck would they travel billions of miles just to pick up some drunk and not land in Washington DC???
A drunk out in the sticks, or a drunk in Washington D.C.? There is a chance that the one in the sticks would be honest.
If you read the lore, the US government is already in contact with "ET"; and, allows them to pick up some of the local folks as part of "the deal". Besides, how would the government prevent ET from messing around anyway?
They
1. Buzzed DC a LOT in the 1950’s, IIRC.
2. They met with Ike twice—at Edwards and at Holloman AFB’s.