One doesn't have numerous train options if planning to visit GOA. The ages old Goa express with numerous stops takes around 36hrs approx. To reach Vasco which is equidistant from North and South goa. I found that the only Rajdhani 12432 travelling to GOA, crosses over Madgaon (MAO). Right outside the station is a Pre-paid taxi stand they charged me INR 300/= to reach Colva Residency.
The closest and famous beach destination is COLVA, 8 kms. You can also stay in Benaulim or Majorda depending on your choice.
Colva is one of the popular South Goa beaches. Good eating joints, hotels, taxi stand, auto stand, bus stand right close to the beach. Colmar residency, Colva residency ( Goa Tourism), Oyo rooms are some good mediocre options 3. 5/5 ratings.
Garden Restaurant is highly recommendable for Indian, Goan delicacies. Their kitchen is visible from the sitting area. I would rate them a 8/10 on 3 parameters Quality, Quantity and Price.