Thanks for starting this thread Terry, it has been pretty interesting.
I've watched a bunch of Youtube videos on hunting these iguanas with all manner of weapons and in some instances it seems like the iguanas are much more wary than others. I wouldn't enjoy or even consider a hunt where I could hand catch my quarry, I'd call that more of a "round up" of a nuisance animal than a hunt.
I like to hunt our groundhogs up here in PA, they are a nuisance animal and the farmers appreciate it and the groundhogs are very wary. They aren't very exotic though