I have used a few "no-lye" texturizer before. The best one I used was "Soft & Beautiful". That one came pretty close to looking professional. My only problem with it was my hair dried out so easily; I don't have that problem with the lye texturizer I use currently.
By the way, I did not experience any shedding/breakage with Soft & Beautiful.
Hope this helps,
Precious Pup