Hey savageglock I'm also new to Portland but have shot at a few places locally.
I've been to beavercreek armory a few times and its actually a nice little indoor range although a tad expensive. It can also get busy at weekends but the people running the place are very nice and friendly, they even gave me a card for a free lane rental the last time I was in there.
Last sat I drove out to a place called browns camp in the tillamook national forest. it was my first visit but I wanted to check it out as its free being unincorporated land. It took about 50 mins from the Raleigh hills area of SW Portland (not far from Beaverton). I would of stayed longer than the hour I was there but it started raining pretty hard.
I'm thinking of hitting beavercreek armory this coming Sunday!