What the heck brings you to Ritzville? Nothing out there but sagebrush and a railroad haha.
There is a sporting clays range right in town just south of the big grain elevators. It is lightly used and I bet they'd let you shoot your bow there. There are also thousands of acres of public land nearby. I hunt rabbits 4-5 times a year out there and in Moses Lake/ Ephrata/ Grand Coulee...if you want to try that the season is open now into March and there's lots of em out there.
Finally, there is land that is owned by Traditional Bowhunters of WA in Moses Lake (I'm 90% sure a member owns it, they have a shoot there every year). You may be able to make the trek over there and shoot at a few 3-D targets.
If you cont sage and greasewood stubs as stumps, you'll be stump shooting to your heart's content, believe me haha