I could overwinter any banana in a greenhouse structure. Pile a few inches of mulch around it only, then let us know how it fares in a zone 4 winter!
I've never personally grown the alleged "Texas Star", so can't vouch for its hardiness. Nor have I ever ordered from TyTy, and I won't because of the ridiculous amounts of negative press that I've seen on the internet about them. I'd love to trade for a pup and do a real test in my zone 7 though, right next to my 'Orinoco' plants.
Frank