You could use a SUBTRING of the postcodes you are searching. So if the user chooses 'L' your SQL will look like this....
WHERE SUBSTRING(postcode, 1, 1) = 'L'
Or maybe use the LEFT function.....
WHERE LEFT(postcode, 1) = 'L'
If they chose to search PE.....
WHERE SUBSTRING(postcode, 1, 2) = 'PE'
WHERE LEFT(postcode, 2) = 'PE'