Hello anil I'll be happy to solve your travel 🙂👍. 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. 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.HAPPY TRAVEL,I just went online and found that there are many great packages for Goa available on tripoto itsellink please go through this link https://www.tripoto.com/goa/tour-packages/
In north goa, taj aguada and taj village have private beaches, however the park calangute (half the price as compared to taj) is the best option. the rooms are well decorated, their restaurant (where they serve breakfast) is right on the beach and opens up to a private sitting (shack like) arrangement on beach (there are sunbeds and swings to relax). the beach area is small, but it will serve the purpose. as a plus point, this hotel is in holiday street where all the good restaurants are (so you dont need to rent a car/bike)
Last year, I had been to Marquis Beach Resort and from my experience, it had flavourful multi-cuisines, glistening pools with a bar alongside and a professional spa. The service was excellent and the view of the Arabian Sea from the window of the room was breathtaking. One cannot miss going to such a luxurious resort in Goa. You can check out the link here https://www.tripoto.com/trip/amazing-asian-cuisines-and-view-3ad5bcd39fa7171df