Sorrento

Grand Hotel Hermitage & Villa Romita

About $200/night

Here is another option. 3 day tour from Rome, stay at 4 star hotel in Sorrento:
US$ 923.93 per person.

https://www.projectexpedition.com/tour-activity/rome/3day-sorrento-capri-pompeii-mini-tour/41737/

Solerno

Standard Plan

This is the second item description.

Naples

This is the third item description.