There is a place which looks like heaven, it's called Gura Portitei, on the wild shores of Black Sea and the quite Razim Lake, which is part of the great Danube Delta. For weekend relaxation, it's perfect. Pay attention to the mosquitos, there are millions. Plus, in the night there is quite cold, so put an extra blouse in the luggage. If you don't want to take a swim in the sea, you can try the pool, for some extra money.
Regarding food, there is just a restaurant, the fish is quite good and fresh, brought from the Danube Delta, but the fries are frozen, the potatoes aren't very tasty, the vegetables are good, and definitely you have to taste the Portita salad, with garlic and tomato. No local drinks, just Heineken beer which is excellent.
There is no shop, so bring with you medicines and solar protection.
On Saturday night, there is a traditional show on the beach, some locals come to sing and dance traditional Russian songs.