October to mid Feb . Book a hostel. If you are traveling alone I will suggest book a hostel for new friends. It’s not expensive when you stay in hostel.
I think you should go between October to December time as the weather is pleasant at that time. Currently it has started being the day super hot and I wont advice that. The hotel I stayed at was "Casa de Goa" which costed me 2K per day. Looking at the amenities,food and location which is so close to the Baga Beach I totally recommend you for your Stay.
Happy and safe travelling.
The best time to visit Goa is from November to February. These are the winter best month to visit Goa, with temperatures hovering between 21 0C and 28 0C. The pleasant weather is perfect to laze around on the beaches of Goa.
https://traveltriangle.com/blog/best-budget-hotels-in-goa/