There are probably some options in Hillsboro for bar games, but I put together a
weekly Portland-based (Wednesday) roundup of special events that may be of some use. Mostly focused on tournaments, but I mention the various clubs.
Unfortunately for you, most of the remaining Portland clubs are on the east side of town, which can be a long haul from Hillsboro.
The Game is on the west side, a couple miles south of downtown Portland. They start a 1/1 NLHE game at 11am, switches to 1/2 at noon.
Rialto is mentioned above. I can attest to the wildness of the Monday Mix game.
Portland Meadows is the new club in town. They start up at noon with a tournament. I don't know what their shootout (cash) games are like, they opened just before I went to work at the WSOP this summer.
Portland Players Club has runs dealer's choice mix games Wednesdays and Fridays, and has Big O tournaments.
Final Table is the other big club left. They start a 1/2 game at 11am, and run 2/5 and 5/10 regularly. They've got a $20K guarantee tournament this Friday evening.