If you find peace in hill area then go to uttrakhand and relax in the hilly areas for beaches you can go to kerala, south goa, gokarna and relax in the beaches but during october to march not in summers
Go for a trek... look for some beautiful trek in Himachal or uttrakhand...triund, kedarnath, kheerganga, valley of flowers, etc are few which you can consider. For a depressed mind it is good to physically drain oneself in a calm beautiful place....