Re: Scratch build websites and sources?
What are you building and how far along are you?
I am in Portland too and have had to deal with emissions testing for my rally car. You may want to find a friend to share your title who coincidentally lives out of the DEQ region. Does nothing to impact your (or your friend's) insurance or insurability or ownership of the vehicle, just sends the title to your friend's house instead.
That might get the registrar to sign it up for whatever year you want it to be, or tell them it was never titled (but technically finished...) and you just restored it to be roadworthy and registered.
My experience with ODOT is they run a pretty loose ship for registration. I took a fully rally prepped (full cage, nascar door bars, full skid plates, straight pipe for exhaust, etc) group 2 VW GTI to get registered. I had the proper paperwork (title + bill of sale) and there was no problem. The only inspection they performed was the VIN sticker in the door.
I know you won't have the title and VIN, but my experience with them is there will be a way to make it happen if you're creative.
Drop me a line if you'd like to chat more.