Made another small selection of visa and visa-free destinations (and even without a foreign passport), all for July 7-15 (8 nights) for two, dates can be moved.

Visa destinations.
Alicante:
Tandem Portal de Elche 3* - 99,700 RUB, by the way, Pegasus starts flying there from June from Istanbul.

Luzurochka:
Coeur Vieil Antibes Plages à Pied - great apartments in Antibes (check photos on other resources).
Casa Moho - Juan-Les-Pins 4* - 85,400 RUB in neighboring Juan-les-Pins (it's beautiful there!).

Without a foreign passport.
Sochi:
Pullman Sochi Centre 5* - luxury for 152,500 RUB, but there are many more affordable options.

Issyk-Kul:
Vzmorie Resort 4* - breathe mountain air, enjoy views of the Tien Shan, and eat lagman on an industrial scale, 69,600 for a vacation you'll definitely remember.

Vladivostok:
Azimut City Hotel Vladivostok 4* - 85,000 RUB, a good hotel; if you're lucky, you'll get a room with a view of the bay.

With a foreign passport but visa-free.
Three great hotels in Kaş:
Hotel Kayahan 3* - 70,000 RUB
Payam Hotel 4* - 76,900 RUB
Luna Kaş - 131,500 RUB

Batumi:
Tapis Rouge Design Boutique Hotel 4* - 56,100 RUB, Batumi has a large selection of hotels and apartments, these seemed interesting and within an affordable budget (7,000 RUB per night).

Many have free cancellation, book while the promotion lasts, you'll have time to find tickets and plan your route.
The promotion lasts until the end of today.
Promo code here.