Wow ! I really wish I could come with you on this one.
Bengaluru (Karnataka) to Port Blair (Andaman And Nicobar Islands) distance is 1651 km and you can get there by flight + flight in just over 6 hours and 30 minutes or by train + flight fares starting from ₹ 3499.
The heat there will make you sweat, but it's surely bearable.