Italian cypress, Cupressus sempervirens? Have no idea how well they would do in TX but they thrive in SoCal!

How high and how wide?

Thinking Weeping Yaupon Holly, but it can get some width to it eventually. Should be well adapted to your area though. If you have no deer, Euonymus Greenspire is interesting.

Gardengal I love Italian. Cypress but they are do poorly here b/c of excessive moisture.

dave I'll Ck those out

Excessive moisture may be a problem except for Yaupon. Will you expect to be trimming annually?

You didn't say how high and how wide.

I don't have restrictions as to height, just width and the scarlet peak looks like it would work. will it still produce berries w/o a pollinator? I'm putting some feelers out to see if I can find one. the place where it will be planted is not a wet area.

dwarf crepe myrtle, eunonymous americanus, Elaeagnus umbellata, Cleveland Select flowering pear (definitely not the best choice), eastern redbud, japanese maple, littleleaf boxwood.

I would consider 'Taylor', also. It's going to work in your climate.

Dax

Pond cypress (close cousin to baldcypress) is very narrow, below:

'Slender Silhouette' sweetgum (~4ft mature width) is an option if soil is not too alkaline. Have seen them do well in Houston clay. Few seed balls is a plus.

Fastigiate Ginkgo are good in SoCal. It may be able to tolerate the wet feet.

arborday.org has all the tree info you'll need to make an informed choice.

pond cypress would be an ok choice, but they like a lot of water. sweetgums get very extensive root systems that will destroy waterlines, and your foundation and take all the nutrients out of the soil to where not even grass will grow. gingko is a large tree, and if it is a female and gets fruit you will be stunk out of your yard.