there was a club that ran super cheap track days (like $60) at Bremerton Motorsports Park,
Bremerton MotorSports Park
Can't remember the club any more but that 'track' is also a great place to learn as a first time lapper since it is a runway with plenty of run off and a course designed with cones.
I'd rather do the other 2 road courses but wouldn't rule this one out for getting your feet wet.
Found the club I had run with a few times, prices went up but still are pretty cheap for seat time.
http://www.irdc-racing.com/irdc_track_days.htm