Are there nonstop flights from Milwaukee (MKE) to Washington (DCA)?

Yes. Southwest Airlines, American Eagle (airline brand) fly this route. Flight time is about 1h 42m.

What is the fastest connection from Milwaukee (MKE) to Washington (DCA)?

via Detroit ≈ 2h 13m, via Chicago ≈ 2h 17m, via Chicago ≈ 2h 17m (estimated flying time, excluding layovers).

from 12,000 JAL miles (economy, one way, based on the published award charts).

General Mitchell International Airport (MKE) to Ronald Reagan Washington National Airport (DCA)・1,019 km

Nonstop flights available (2 airlines). Flight time about 1h 42m. Nonstop return flights also operate.

With milesJAL 12,000 miles+ (via CLT)Economy, one way, estimate. Tap a connection for miles by cabin.

14 one-stop options, sorted by estimated flying time. Tap one to see the airlines on each leg and booking links.

Times are estimated from distance. Check schedules, frequency and availability with the airline or a booking site.