An acquaintance suggested several useful websites for finding accommodations and lodging in Bangkok, and other parts of Thailand.
The information is in both Thai and English; many places rent by the day and by the week; you can search by specific areas of Bangkok
I have been told that there are some good deals, and will perhaps take a look at some of the offerings during my next trip to Thailand.
The websites:
www.renthub.in.th
www.thaiapartment.com