Have you had looked at www.helpwithtalking.com? You can search by postcode. We used Cherry O'Neill in Leigh for our daughter who had delayed speech due to enlarged adenoids/tonsils/glue ear. We only saw her twice but I thought she was amazing with our daughter. She had a lovely manner and my daughter warmed to her. The website will show you other SALTs and give a summary of their experience Hope this helps
You could also try Alice Brown. She is based in Tunbridge Wells & has recently moved from NHS to working privately. She is really good with pre-school aged children. Her website is www.speechtherapytunbridgewells.com. I fully recommend her.