hmm, your not going to be able to get there 100% with single coils, but if you really want the edge's tone for vertigo, you're going to need the ac30, the line6 DM4, and as for single coils, i would imagine you would need some irish tours or trilogy suites with baseplates on all 3 positions. that should give you a nice, thick tone similar to humbuckers.
the thing with edge is that depending on what era you want to play from, youd need different equipment.
boy/october/war - stormy mondays ive seen suggested on here
TUF/joshua tree/R&H - apaches for those echoing cleans (streets etc)
achtung baby/zooropa/pop - here your going to need a humbucker with a bit more bite e.g. one of the contemporary 'buckers.
2000's - as for them nowadays, you'd need a combo of all of the above, as the edge switches more guitars during a show than your average musician. when i saw u2, he used a different guitar for each song.
for stuff like the fly, the electric co, vertigo, elevation - humbuckers
streets, with or without you, still havent found - single coils
but yeah, apaches for the clean stuff
irish tours with baseplates for the crunchier stuff.
hope this helps.