With Your Own Team of Scholars!

This blog has encouraged raising questions more than simply giving answers, so here's a question for all you Synoptic Problem fanatics:

What is the ideal methodology you would recommend for a team of choice scholars under your direction to take in attempting to investigate and solve the synoptic problem? What premises (and why) would you begin with and what data are we still lacking in order to be able to completely solve the synoptic problem?