Are there nonstop flights from Dallas-Fort Worth (DFW) to Rapid City (RAP)?

Yes. American Eagle (airline brand) fly this route. Flight time is about 2h 5m.

What is the fastest connection from Dallas-Fort Worth (DFW) to Rapid City (RAP)?

via Denver ≈ 2h 47m, via Houston ≈ 3h 26m, via Minneapolis ≈ 3h 32m (estimated flying time, excluding layovers).

from 15,000 ANA miles (economy, one way, based on the published award charts).

Dallas Fort Worth International Airport (DFW) to Rapid City Regional Airport (RAP)・1,345 km

Nonstop flights available (1 airline). Flight time about 2h 5m. Nonstop return flights also operate.

With milesANA 15,000 miles+ (via DEN)Economy, one way, estimate. Tap a connection for miles by cabin.

6 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.