I can give you some insight on the LBS and INSEAD.
Both are very much about the GMAT. If you score >720 they will admitt you wihtout hesitation. The INSEAD will give you a good start for consulting.
Look in the Business Week MBA Ranking. In the school describtion you can find the top recruiters in the career section. That gives you a good impression what you get.
McKinsey & Company 127
The Boston Consulting Group 60
Bain & Company 48
Booz & Company 40
Roland Berger Strategy Consultants 15
A.T. Kearney 14
To give you some advice: For your application the recommendations are very important, because you have a very diverse background. Aim at the INSEAD and try to score 720 and up on the GMAT and you have a good chance.
All the best
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