In at both - these were the only two schools I applied to as well. Have a few weeks to make the final decision. After researching, going on campuses, etc, I feel like if the end game is consulting - definitely go to INSEAD. If you want to try to do London IB - definitely go to LBS. I think these are the two most likely career paths for me, with a slight pull towards finance over consulting (I come from real estate investing), so may end up picking LBS on that basis.
However - as far as lifestyle - INSEAD is the only school where you can do something like: 4 months singapore, 2 months abu dabhi, end in western europe. On that criteria alone - that sounds like an incredible year. On top of that - you are completely done after that year. No other school can feed students into elite consulting jobs after what amounts to a year around the world.
Everything I wrote above - not going to post stats or exact number of conversations I have - this is just the feel i've had. That to me, is the biggest pro of each and the one I am currently wrestling with. Will not pull the trigger on either for a couple of weekends. Whats your situation?