Wyoming LLC + Amazon FBA – is it really viable?

Hello everyone! I'm not a U.S. citizen and live in another country. I have an LLC in Wyoming, but it turns out this might not be the most convenient state for selling on Amazon. Is that really the case? Or is there a way around this issue? Is it still possible to run a business while being registered in this state?

I'm planning to send my products to a prep center in Texas and then ship them to FBA from there. Would that work?