Years ago Blackgang Chine was a naturist beach.  I do not know if it still is I do know the cliff collapsed and it might have been curtains for the beach.

Blackgang is a great nudist beach if a bit of an hike to get to i visited in 2007.Culver beach near Sandown is another beach used by nudists and easier to get to. 🙂

Morning,,, both are still used, blackgang is a trek to get to but I think the nicer of the two.... Culver is easy access with a car park near by.....

I AM at iele of wight buts too voor to Day for the heavy dus to door wind.    Br4rr

Lovely stretch of beach at Rocken End (this may be the same beach as Blackgang) but it's a fair trek down a path which winds it way through some active coastal slopes. Access from the car park at the end of Sandrock Rd in Niton .  There's a good chance it'll be impassable at the bottom, as we've had a wet spring.
Anywhere on the south west coast will be fine as access is difficult. I walked east from the campsite at Grange Farm (Brighstone) for a quarter mile last summer , not a soul around.  You could walk naked all of the six miles to Rocken End ,  but would need careful consideration of tides to avoid getting stranded.

Another possibility is heading east from Yaverland near Shanklin.