[Poogsdad]

I think this might be a good bit of additional information for people that own or lease anything in OR, but are not residents.

166.291
(9) For purposes of subsection (1)(c) of this section, a person is a resident of a county if the person:

(c) Has documentation showing that the person currently leases or owns real property in the county;

So it looks like if you own or lease property in Oregon you can apply for a permit to carry no matter what state you live in.

Check with the local sheriff of the county you own or lease in for additional information.

Thanks to elemental for providing this information.