I think you can plan for anywhere in the period Nov. to middle of march. bcz it is best period to go for hangout. since you want visit at this time so you can come to visit Goa, but there is too hot at this time.Plan accordingly
In April uh can plan your visit towards the mountains
sikkim
kodaikanal
rishikesh for adventure sports like rafting or bunjing jumping
munsiyari
leh etc