BT wifi is a can of worms, mainly because it comes in a variety of flavours, most of which are available to BT Broadband customer only, in spite of being branded the same. Frankly, it's a bit of an anachronism anyway, now that free wifi is available from so many different sources. I've given up on BT and mainly rely on O2 (sign up for at one of their hostsed hotspots and you have access to them all) or a free account from The Cloud.
Occasionally, you will find a free BT-hosted hotspot (often in motorway service areas) and your device will rember it as an available connection. Next time it finds one that looks the same, it'll latch onto it, even if it's one that's not available. In those cases, you have to grit your teeth and manually select something else.
Vodafone 4G is rolling out quite quickly. As it has a better range than 3G, you should find that non-urban coverage improves - though a lot of rural areas are still 2G and may remain that way for some time.
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