There is lots up in your area, and lots more if you are willing to drive south a ways.
Start off with Performance Drivers club:
Performance Drivers Club - Home
They have rigid programs and you will learn much before you progress up the steps.
Many drive at events at Mission Raceway, so look at their schedule and you can possibly join another marque's track day.
Further south are both Bremerton Raceway (near Bremerton WA) and Pacific Raceways in Seattle. Pacific Raceways has Pro-Formance for instructors and a day there is around $400 with instruction.
Further south is Portland International Raceway (PIR) and they are set up with instructors as well.
Look up each track (google it) and get the schedules and the costs.
Of course you can always do the SRT Experience, but it never gets much closer than PIR to you.
PM me if you need more data!
PBR