There are a couple places you can try.
If you want a range to shoot at, Clark Rifles in Brush Prairie has ranges out to 300 yards and is open to the public on Sunday.
There is also lots of DNR land around you. As long as you follow the signs and don't shoot in a no-shooting zone, there's plenty of places to go. Its a bit north, but if you head to Castle Rock, cross the river to Westside Hwy, go north to Casey Road and follow it up to the power line corridor, there are several places up there you could shoot out to 200 yards or more. Just please be respectful and clean up after yourself so we don't lose more public lands to shooting.
Rover