I have no documentation for the travois being pulled by man or woman, but I have done so in the past, and I really can't imagine that 18th century man was any less inventive. I will however continue to research this subject, but as you can imagine it is not something likely to be written about and the travois use in the east is overshadowed by its use in the west.
Here is one I made recently. Note the curved ends that drag. This makes it easier to pull and it leaves less sign. It can also be pushed to manouvre.
I have purposely made it narrow, so it will fit on forest trails. The front is bowed out to make room for me to stand inside to pull. The original shape is kept because I think this design is what makes it so secure and sturdy.
I also made the cordage that holds the travois together.