Hello omkar Deshpande,I'll be happy to solve your travel query from my experience ☺️.
*As per your requirement there are many resorts in Goa with private some of the famous ones are are marquis beach resort ,farenheit hhotel,caranella beach resort, the o hotel, bambolim beach resort,la Alphonso Marine resort and spa ,beleza by the beach and many more like them. You can get details easily on Google or there are hotel booking options at tripoto too.
* but since they are on private beaches booking rates are quite high on search resorts so if you are planning for a budget trip I would like to prefer you hotels and resorts with the walking distance to be so that you could be standing whenever you want to.
*I just went online and found that there are many great packages for Goa available on tripoto itself please go through this link
https://www.tripoto.com/goa/tour-packages/
HAPPY TRAVELLING
Luxury Villas in Goa-
On the hill - Saipem
Alto Wave- Reis Magos
Rio - Candolim
Sal Canoe - Cavelossim
Capri - Calangute
Infini - Reis Magos
Moira Bird song - Moira
La Cote - Candolim
You can stay at Abbas glory land, agonda beach. the cottages are next to beach and the hospitality is beyond words.
you can also try blue lagoon beach facing cottages at cola beach!
all the best! enjoy!