Crooked River Ranch has a huge non typ running around. I almost went down to see if I could find it to see it. I think the going rate for the last two Oregon gov tags was 25K each for private access to shoot a lawn ornament. Maybe if you show them the purple heart they might knock 10k off. They are fairly American in that neck of the woods.
Metolius is a good bet. Some archery competetion and tribal pressure but some good benchlegs for sure.
Steens and Juniper migrations have already happened, so probably a ghost town there.
Some good stuff on the Nevada line.
ODFW should have a feed station going soon in the Starkey, and of course as mentioned Wallowa lake or town of Lagrande probably has some pets