Westcoast suggests you visit:
Poseidon bay, Sorgeto bay, s.Angelo village, s. Pancrazio bay, Cartaromana beach, the Aragonese castle, the wizard’s grotto, s. Montano bay, and the nun’s beach.
It takes between 4 to 6 hours to go around the entire island.

Useful information
Ischia coastal perimiter: 18 miles
Procida coastal perimiter: 8.6 miles
Distance between Ischia and Procida: 2 miles
Distance between Ischia and Capri: 18 miles
Distance between Ischia and Ventotene: 20 miles