Looking for Greek hotel recommendations (on points)

Hi there! We are planning a two week honeymoon in the Mediterranean in either August or September 2026. The first week will be a Rome to Athens cruise (paid cash).

Currently working on the second week, but struggling to find ideal accommodations on points. We are looking on the Greek Islands and thought we landed on Dreams Corfu, but the reviews are more family friendly than couples.

We are ideally looking for a place that is couple friendly, beachfront or near the beach, private pool, lively city center not far from accommodation (walkable), and great hotel service. Adults only would be a plus but not necessary.

We have about 500k Chase UR, 50k Amex MR. We anticipate about 150k UR will go towards our flights (east coast US to Europe)

If anyone has any recommendations, I would greatly appreciate them! I've practically burnt a hole into the Hyatt worldwide map but haven't found anything that screams what we are looking for.

Thank you 🙂

I apologize for the formatting as I'm on mobile at this time. Also I posted in r/awardtravel but was denied unfortunately so maybe I'll have better luck here.