To be honest, the BD postcode is a very highly rated one at the moment for fraud. Indeed, PR, BL, BB, HA, UB, LU, and IL. Parts of B and L are catching up. Anywhere that has a large ethnic population tends to be fraud hotspots, and you'll find BD fits in nicely to the profile.
Your vehicle is much more likely to be stolen, meaning more likely to have to make a claim.
And if that happens, we will be asking you (we as in claims investigation department) why our clims inspector is having to visit you at a BD postcode to take a statement, and why the accident happened in BD, when your premiums are rated in York.
And when you get insurance declined, and your insurers try to recover the cost of four personal injury claims, hire car claims, storage and recovery claims, and solicitors costs from you as theres no cover (thats tpyical of claims in BD) thats 20k minimum, possibly 30k if you hit a £500 old Toyota Carina diesel plated vehicle. (All taxi drivers have the phone numbers of dodgy accident management co/s in their mobiles!).
Don't do it.