A balanced flue is for gas and gas only. A wood burning stove can not run using a balanced flue for smoke extraction.
A wood burning stoive requires what is termed a Class One chimney. In laymans terms this is either a brick built chimney suitable for a stove or a twin wall flue system, again this is twin wall which is suitable for a stove.
Please feel free to phone 01560 483966 to discuss your requirements or email firstname.lastname@example.org