This place is a hidden gem as it is not listed on the usual websites (Agoda, Booking.com) and so we found it by walking by and noticing it was well located, but set away from the main street. It is basically located just off the north east inner moat road, just north of Kafe and Elvis' diner.
Room was fairly spacious with a large comfortable (but firm) bed, fluffy pillows, large fridge, sofa, and adequate storage space. TV works fine with a fair assortment of English-language channels. Bathroom was clean with a spacious shower. Wifi worked well throughout our stay. At first, we though the hot water wasn't hot enough, until we discovered that if we decreased the water pressure, the water would be hotter coming out of the showerhead. So, you lose on shower pressure, but you get a much hotter shower. A/C works well, and is quiet.
Location is excellent: walking distance to Riverside and the Night Bazaar, in the heart of the busiest part of the old city (which is the east/centre part of the area). Staff didn't seem friendly at first, but we realized the girl who checked us in was always working (morning, noon, night) - she must have been exhausted!
We wished we would have stayed here our entire time in Chiang Mai - it will be on our list for next time. At 700 Baht/night (no breakfast), we were very happy with the quality and location.
Since you can't find them on the hotel booking sites, here is their website: http://www.luxhotelchiangmai.com/