The answer is easy.
Don't go to the NHS. I was down to have mine done through the NHS (this was 1994 and still possible), but circumstances meant I couldn't arrange it in the end ... luckily because...
you cannot control what type of style you get. Or, put an other way, the technique will be a dorsal slit then circular cut just behind the corona and all the mucosa trimmed to 2mm so that the circ looks neat and there is no mucosa showing.
The option I would do now (for myself or anyone) at a heartbeat is to go the London circumcision clinic. They are a dedicated clinic that do children and adults and they openly allow you to choose the resulkt, high, medium low, etc... *** The link is only visible for members, go to login. ***
It's a no-brainer.
Pity I didn't find out soon enough