Chances are, the other party will be suitably impressed if you show that you’ve registered the flight and can show them its existence on several apps/websites … in advance.
So - since flight-plans create a 500m radius area - and for most people that is close to VLOS - then that might be the way to go.
And the chances are that that sized circle is sufficient for your needs, too.
I wish to undertake a drone flight at (location) for non-commercial photography using a (type) with a maximum take off weight of (grams). I will receive no consideration in cash or in kind for this flight.
I will be flying within a (metre) radius (lat, Long) at a maximum altitude of (feet) on (date) between the hours of (from -to).
Could you advise if any permissions are needed and, if so, do you require any further information? As a recreational pilot I am registered as ab operator with you (number) and am familiar with and will be operating within the Drone Code and all applicable aviation and civil regulations
Copy your worried people in as well then show them the reply. The CAA are fairly good ar replying though it may jusr be a standard no permission required letter.
How close is “close” to Gatwick? A NFZ is different to a FRZ. You can fly in a FRZ with permission from the local tower as a hobbyist. It’s worth a courtesy call to them and Sussex police to head off any trouble in advance. Then if you file it on NATS you should be good.