Hi npirog,
The main difference between the Natural Latex Mattress and the Total Latex mattress is that the Natural Latex mattress uses 100% natural Dunlop and Talalay rather than blended Talalay, has no polyfoam in the quilting, and uses an organic cotton cover quilted with wool instead of a bamboo cover. The specific differences between them and how they would compare would depend on the options you choose for each one but there are many people who prefer to avoid any synthetic materials in a mattress more for personal preference reasons than performance reasons so it would be a matter of preference rather than a “better worse” choice. There is more about the different types and blends of latex in post #6 here but they will be able to provide you with more specific details about the different options available with each one and how they may compare for you when you talk with them on the phone or use their online chat service. They know more about the specific details of their mattresses and the options they have available for each one than anyone else.
I’m looking forward to your feedback after your visit 
Phoenix