I am in Phuket where I just obtained my TESOL course. I also have a bachelor's degree from the University of California, Berkeley. I have some teaching experience in Thailand and am hoping to land a full time job in CR but for some reason I don't see much demand in CR for teachers..

I think you'll need to come here and knock on doors.  Good luck.

What kind of job? That is, what kind of school? Prepare your resume, tefl cert, degree and/or transcripts copies. Go visit and knock on doors. I would not rely on Internet job postings for Chiang Rai. There are private language schools near some of the universities, and there are of course regular schools, bilingual schools, and International schools in Chiang Rai.

Ok thanks.