Hassle BT for some more information.
You're almost certainly currently getting an 'ADSL Max' service or an 'ADSL 2+' one. Such services typically provide around 5Mbps or 10Mbps, respectively, where the user is close to an exchange. (You're obviously not!). It makes no difference at all, to someone who is subscribed to such a service, as to whether there are fibre cables nearby or not. (For example, I got 10Mbps on my ADSL2+ service many years before fibre cables were installed in our area and, because I've stuck with ADSL2+, I still get the same speed now, even though there are fibre cables nearby).
If there are fibre cables only 100m from your house then it's likely that there will be a cabinet for that service not too far away from you as well. So you need to make enquiries (either with BT or with a company who buys their services) about switching from your current ADSl service to an FTTC ('fibre to the cabinet') one. i.e. the fact that fibre cables don't actually run along your road is irrelevant; it's the distance to the nearest fibre-equipped cabinet which is relevant. If there's a cabinet nearby then, using conventional copper cables from there to your home, you should be able to get decent download speeds. (Remember though that you'll need to pay more for the service than for your current, abysmal, ADSL one).