If you want great bang for your buck, you can't beat staying with Panos in Imerovigli.
Panos helpfully offered and arranged transfers from the airport and the seaport for our group, and was very accessible for local recommendations and everyday amenities (more bottles of water, wine opener, beach towels etc).
The property has a local view of the ocean to the east and a Santorini style vineyard next door. It's a very short walk to the stunning cliffside buildings and caldera view to the west.
The daily breakfast on the second floor terrace was a nice touch and was a great value since it was included.
All the basics of a hotel were great too - the bed was comfy, towels were soft, AC was cold, and WiFi was strong.
If you're looking for a great value and comfortable stay on this beautiful island, consider Villa Libertad.