Your work experience is really strong for an IT consultant candidate and this should be the focus; have you considered an EMBA? It is much easier to get into and arguably a better experience because of the higher calibre classmates. While a FT MBA at LBS may be a reach with the current GMAT score, a rich application might make up for it.
Said and Judge seems quite realistic. Research into the various programs becomes key as they both prefer candidates where they are the first choice, for plausible reasons. They're not looking for LBS rejects.
A coherent and realistic story about career ambitions is critical. LBS is best for consulting or part-time equity, while Judge or Said are best for management. Booth and IE are also realistic with his GMAT and profile, but the others are more of a reach without a higher gmat.
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