I'm not familiar with any texturizers that are lye, most that I've come across are no-lye which is why I use weakened relaxers to texturize/texlax my hair.
I have used Pro Line Barber Select Texturizer before and it is great at keeping curls. This has lye.
Linange Shea Butter Texturizer is another one that gets great reviews and I've seen beautiful results with but I don't know if its lye or no-lye.