There's some great info at the Washington State Rifle and Pistol Association web site: WA STATE RIFLE & PISTOL ASSOC
But, 1,000 yard ranges aren't common.
We used to be able to use the 1,000 yard range at Fort Lewis - not open to the public now unless things have changed.
Rattlesnake, down near Tri-Cities has a terrific 1,000 yard range. Be prepared for wind... That's an understatement.
I hear the Chelan range has 1,000 yard capability, but haven't shot there myself.
The North Central Washington Gun Club, Wenatchee, has a 600 yard line, with steel silhouettes sometimes avail for shooting out beyond 1,000 yards. NCWGC - Main
1,000 yard ranges aren't common...