Visiting Kyoto in mid March and tried booking Shiraume ryokan in mid March but was fully booked on that day. They recommended a few other ryokans in Kyoto but not too sure if they are good? I'll be staying in Osaka as Kyoto hotels are mostly booked but allocating an overnight stay for a Kyoto ryokan.
These are the ryokans they recommended:-
Beautiful ryokan mix of traditional and modern
A little south of Gion, but beautiful ryokan.
beautiful house with 2 stars cuisine
Renovated beautifully old house recently, comfortable facilities, nice food.
Super gorgeous , most famous in Kyoto.
Most famous as Tawaraya.Traditional Japanese, recently added new rooms.