OK.
Unfair of me to outright point at BT but it's been noticed that they seem to be routing people via odd places. Combined with your interleaving, that might be enough to produce the 'space out' feeling you're describing ;/
Might be worth getting DSLstats or similar on the go to see why you're interleaved, perhaps?
Not much you can do about having BT as your ISP though
Can you post a traceroute to bbc.co.uk? Perhaps you're not affected by what the others, myself included, are seeing