Another trustworthy source of suggestions for Kyoto ryokan would be Diane Durston.
Amongst her recommendations are:
North
Heihachi-jaya (from ¥25k per person)
Kikaku-tei (no idea about how you'd stay here - nearest place to what she described seems to be this:
http://www.komyoji.com/ruri/index.html)
Centre
Kinmata
East
*
Kiyomizu Sanso (small, atmospheric and very reasonably priced)
*
3 Sisters Inn Annex
(*note that Ms Durston indexes both of these places as Inns not as Ryokan)
Shiraume (no curfew, from ¥18k to ¥35k per person including dinner or ¥13k to ¥25 on a Bed & Breakfast basis)
Tamahan (from ¥25k per person)
Taken from her excellent book - Old Kyoto