'John in Hull' suggested above:

Try the Tap & Spile in Hull, they have 2 no smoking rooms (folk night is Sundays).

I visited the Tap & Spile in Hull on Springbank (I assume this is the one you meant, John) one Sunday at the end of July, and found a lot of heavy smokers there. The non-smoking area I saw, if I remember right John, was a small 'box' type room just next to the toilets. Unfortunately, if you sat in that room you wouldn't really be part of the proceedings in the adjacent room (where the folk musicians were), and naturally this non-smoking area was, anyway, full of smoke that drifted through the permanently open doorway.

I'd say the Hull Springbank Tap & Spile was not really a place to go if you don't like smoke.

Cheers

Julie B