No one is time-poor.
Each of us receives 24 hours in day and 365 1/4 days in a year.
Some are more fortunate in the number of years allotted.
One can cross the US by bike on a 3200-mile route from Atlantic City, New Jersey to Pacific City, Oregon,
Generally following the historic Old Lincoln Highway in the East and US 20 in the West.
(With some important scenic and low-traffic variations)
Not to mention that you have about an hour extra daylight further north.
https://www.lincolnhighwayassoc.org/map/https://en.wikipedia.org/wiki/U.S._Route_20http://www.historicus20.com/historic-us-route-20.htmlIt might be best, weather-wise, to ride east to west. Couple of reasons -
It warms up sooner in the east, can still get snow in the west in early June.
Plus, you save dessert for last if you ride east to west.
Wind direction has been discussed a million times - roughly equal - 55/45 slightly more westerly.
You would fly into New York or Philadelphia and out of Seattle or Portland.
There are more available flights for New York and Seattle,
But Philly and Portland are smaller airports and closer to your endpoints.
One-way flights can be super expensive - esp. non-stop.
You can get a round-trip to either NYC or PHI then connect from the west coast.
(All of which takes time)
3200 miles would mean 160-mile days rather than 200-mile days - big difference.
Not to mention that you haven't mentioned issues like weather or illness delays.
Not sure, but your 200-mile plan seem on the verge of impossible.
Unless, of course, you are used to riding 100-miles at 17 mph day after day.
The shorter route would make it much more possible.
I've got 100,000 miles touring - mostly in North America - slow with all the baggage.
Let me know if you wish more info.