This is a good idea!
A group buy might be a better way to go, I've participated in those on another forum. It's a great way to try out a variety of stuff without buying ful sized portions of the product.
It would take someone to put in the effort for it. That person would put in the order for the teas, break them up into sample sizes and ship them out to the people that opted to participate. Those that get the tea from the organizer would pay him directly.
I think that it is acceptable for the organizer to round up prices slightly to cover his costs for shipping.
BTW, a group buy is also a good way to get volume discounts from merchants.