IN zone 7 you can grow windmill palms, Trachycarpus fortunei. It will get 10 to 20' tall with age and is hardy to 5 to 10 above zero. sabal minor is also hardy but does not form a trunck and the leaves would get 5' tall or so. There are others but those would be the easiest to get and should do good for you. Tim

In addition to the above:

Trachycarpus wagnerianus - Dwarf Chusan Palm Category: Palm
Family: Arecaceae (Palmae) (Palms)
Origin: Himalaya Mountain Region (Asia)
Evergreen: Yes
Flower Color: Insignificant
Bloomtime: Not Significant
Synonyms: [Trachycarpus takil, Hort.]
Height: 12-20 feet
Width: 4-5 feet
Exposure: Sun or Shade
Seaside: Yes
Irrigation Req.: Medium Water Needs
Winter Hardiness: 0-10° F

I have them in containers and love them! Mick -- Abilene, TX

PS: I found them on e-bay last year from a Texas grower and bought three at a very fair price.

Thanks for the great suggestions. I'm going to write the names down and google images. ;0)

which is enormous in every way and grows in colder areas.
You probably will have to get either seed or small plants, which is best as they might not do well here, but if they did do well you'd have something else.
Trunks six feet across, the Chilean palm is a real monster (and it has edible fruit too.)