Kurt Kinetic has a small wheel adapter for wheels down to 16" diameter
LINK.
The Kurt Kinetic models and the 1Up are both well regarded trainers on these forums as a search on "1Up" or "Kurt Kinetic" will demonstrate. The fluid Kurt Kinetic models and the 1Up are also fairly quiet; a smooth surfaced tire also helps. The dedicated trainer tire, Continental's Hometrainer, is not available in your wheel size.