Since I do not know your friend, it would be hard to say which she would prefer. If she uses a large round hoop and holds it in her lap, then the second one you posted would be most like it and might be a good choice. But, it may be that she uses the kind of hoop she has because that is what she likes--and maybe she does not want a floor stand.
A gift card to her favorite quilt shop-either local or online-would also make a sweet, thoughtful gift and would take the mystery out of what her preferences are.