Dear Pokhriyaln,
You could try Indroda's Nature Park or Nature's Park in Baroda as well if you are fine with traveling. There's a place called POLO as well; we had gone there during college years. Jhanjri would not be an apt place since it's risky during and immediately after the monsoon. Other options include Sapteshwar and Utkanteshwar, though I am not sure how safe and feasible it will be for you. You could try places that are near to Baroda, and there are too many one-day picnic options available there. Should you seek more detailed information, please drop me a message.
Regards,
Shalini