The Pineapple Inn on St George's Road now offer an "Open Dyke Night" at the Pineapple Inn in Bristol. It's been running every week but as of 17th July will run every fortnight.
It's based on an open mic so any one can come and have a go, they also have a main booked act who usually goes on at the end of the night.
It runs from 9pm till 12, but is not strictly women only so you can bring your male friends.
www.pineapplebristol.co.uk is a bit out of date but will at least tell you how to get there!