I dont have a current Folk Roundabout for the North East, however according to Tykes' News the following are possibilities, note many clubs are closed for the summer holidays:

Thursday Aug 18th Kieron Means and Sara Grey; Black Swan ~ York

Wednesay August 17th Singers night; Otley Folk Club ~ Otley West Yorks

Fridays August 19th Robin Hoods Bay Folk Club ~ RHB near Whitby, check out 01947 880660 or 880801

Tuesday August 16th Skipton Folk Club over to the West of Yorkshire
says Singers' Night 'we never close'
Ray