OMA and IAD are approximately 986 miles apart by great-circle distance.
No. Roame's current schedule feed lists service with stops from OMA to IAD, but no nonstop service.
Airlines represented in the current schedule are United Airlines (UA).
Aircraft listed in the current schedule include Boeing 737-800 (738), Boeing 737-900 / Boeing 737-900ER (739) and Boeing 737 MAX 8 (7M8).