This page from Oregon Firearms Federation has an FAQ that hasn't been updated in a while but I would expect OFF to make notes about pertinent changes --
https://www.oregonfirearms.org/faqThe first question/answer should give you most of the info you need. And you're right, OR doesn't recognize any carry permits other than their own.
Under the "CHL Central" heading there are other links to prohibited places, etc., that might also be useful.
In short, OR allows unlicensed open carry. They also allow loaded open carry in a vehicle but do be sure your attire and seating arrangement doesn't leave any gray area between open versus possibly concealed. About a dozen cities/towns have legislated more restrictive laws on loaded carry so you should look at that as you plan your route.
You will probably not find an LE agency willing/able to issue a CHL renewal on the spot so forget about that possibility. Some departments hold open application days about once a month but most operate on an appointment basis. Appointments were running 4+ weeks out for the primary WA resident contact points (Multnomah and Columbia Counties come to mind) the last time I checked.
Open loaded carry will be your best bet but do your research on which cities have restrictions so you don't get any nasty surprises along the way.