Where would you like to live? Inner Bangkok, the outskirts like Nonthaburi and Pathumthani? Or in Northern Thailand?
You can get a furnished apartment for 5-6 k @ www.pgp.co.thbut forget it if you are going to teach in Bangkok.
There are nice small towns if you just want to stay a month and send off your CV and take phone calls. www.nanguesthouse.net charges 4.5 k for an aircon room. Wifi and drinking water are included. Shirt ironing/ @ 5 Baht per shirt, full service 10 Baht. And you can rent a new bike for 2.5k or an old one @ 1.5 k. Nan-Travel, trekking, rafting, hiking, cooking and tourism in Nan province. Nan Travel in Northern Thailand ?