Going by Little Bird Told Me, it looks as if you'd have to at least travel the 20 odd miles to Norwich for Great Yarmouth.

I've only been to 2 of the events that are listed for your dates and seem to disagree with/question the website's comments:

The Wed night Irish session that has moved to the White Lion is quite a high standard session and while friendly, is perhaps not the easiest for an inexperienced player. (noting this as they describe a Sun night Irish session at the Gatehouse as "exceptionally high standard" but the Wed is the "harder" of the two Irish sessions in the city).

Things may have changed with Thursday session in the Reindeer but (when it was at the Nelson - again, it has moved recently), Thursday night was "anything goes".