June 2026 Honeymoon Help

Planning a honeymoon for June 2026 in Greece. We are spending our first week (June 15 to June 21, 6 nights) in Santorini at the Atoles Retreat in Imerovigli. Trying to decide where to spend our second week and we are considering island such as: Milos, Sifnos, Paros, and Naxos. Since our first week in Santorini will be more resort living, we’re looking for our second week to be more laid back in a seaside village, preferably with some beaches, restaurants and tavernas we can walk to. Don’t really want to rent a car but would if necessary. Any suggestions? Trying not to spend more than $4-5k for the second week.