I originally was in the same boat several months ago when I took my first sorcerer into amrath. It totally knocked the wind out of me. A new sorcerer I rolled not too long ago solos marvelously there at least on normal now.
What I did was specced nuking and got him a torc. He relies on several damage boost clickies. Sins runs take him 7-9 minutes usually. His gear IS NOT stellar, and hes a little low on the DC side, but he gets the job done nicely.
http://my.ddo.com/character/thelanis/saedret/ to give you an idea what I am talking about.
So far he has soloed Sins, New Invasion, Bastion, Weapons Shipment, and Wrath, but I usually just stick to sins for the fast easy runs for ingredients.
Ball Lightning, COC, Polar Ray, Reconstruct...all you really need. Use a pair of disruptors for the cinderspawns, and vorpals for the efreeti.
No its not the best possible sorc build for soloing shavarath, but it gets the job done nicely. The torc is nice, but not really needed.