Cotton was first grown in California in 1888 and in Arizona in 1885.
You are grasping at a straw. No significant cotton can be grown in any of those places today without serious irrigation systems being employed.
If it cannot be done today, no serious amount of cotton could have been grown in those places back in 1860. The idea that those states represented a massive addition to the propagation of slavery is just false.
As I pointed out in the Wikipedia article on the Crittenden compromise, both sides acknowledged that slavery wasn't going to be significant anywhere in New Mexico or Arizona or Nevada.