Tom,
The smallest sprocket that the LDMCC spares stocked was a 16 tooth for a Competition (trials) Douglas - that is, assuming you have the 5/8 x 1/4 rear chain. Originally, Douglas also listed rear sprockets up to 57 teeth. I doubt that the spares scheme will be able to help with the larger rear sprocket, but they can be obtained from bearing stockists (known as 'plate wheels') - then you will need to get the centre machined out to suit your brakedrum.
Regarding gear ratios - most British road machines, as supplied, were overgeared. My Dragonfly was the same, so I lowered the gearing by fitting a 16 tooth gearbox sprocket (instead of 17T). Even with the lower gearing, when fully run in, the engine was capable of almost 60mph in 2nd gear, about 75 in 3rd, and would cruise at about 65 - 70 in top. Having said that, it was probably at it's happiest at about 65, but Douglas engines don't lend themselves to slogging - they are happier if you play tunes on the gearbox!
Regards,
Eddie.