My vote would be for Renae but I would very much like to see comments from someone in Houston because while my roses do deal with humidity it’s not Houston humidity and it’s DEFINITELY not Houston sun.

Most climbers are pretty thorny. The only climber that I know of that is thornless, or nearly so, is Zephirine Drouhin. Since your name is Dawn, you might try New Dawn (joke). This rose will rip you to pieces. Diane

I just planted two Zephirine Drouhin climbing roses into 21" pots to train onto a back driveway arch this past summer (Temple 8b). They shipped dry root and have done marvelously so far. They are loving the semi-sunny spot, have tripled in size, are producing lots of canes I'm already training to the arch. Best of all, these are almost thornless roses (why I chose this particular rose). Here's a shot I took of the outer one yesterday. I think they will make a nice display on this unused driveway to replace a wisteria I removed off this arch in June (which was invading my roof/gutter & required way to frequent pruning for someone my age).

EDITED: to add photos I forgot to upload.

I don't have it myself but I have seen a stunning Victorian Memory/Isabella Skinner growing as a climber in hot + humid conditions. It's thornless with great repeat.

@joeywyomingzone4, I checked that one out on NGA forums database and it's a lovely deep pink one. I LIKE it! My husband hates plants that 'bite'.

Thank you all so much for your suggestions!

Annie Laurie MacDowell, if you can get one...thornless and beautiful.

Why not try a native vine to Texas? Take a look at the Lady Bird Johnson Wildflower Center website and head up to the Austin area to see them in person.https://www.wildflower.org/gallery/species.php?id_plant=CLCR
This link is the Clematis crispa with lots of images on the site. There may also be a native honeysuckle that would suit your location. Also, look at Houston-area Master Gardener and Master Naturalist sites for native vine ideas. The plant will be suited to your humidity, soil and moisture level. And the pollinators in your yard will be benefit from a native.

Dawn C, here is a Texas link to honeysuckle. https://www.centraltexasgardener.org/resource/coral-honeysuckle/ I live in Virginia, also hot and humid. Roses look pretty strung out as the summer progresses and get out of hand with growth and maintenance. Even my "thornless" Lady Banks climbing rose had to go--she got way too big, too much work and her thorns were tiresome.

Try a pair of leather gauntlet rose gloves. You'll never be stabbed again

I truly appreciate everyone's input! It seems as though many of the thornless types are pink roses, which I don't think I want. They are very beautiful though. 
I have roses in my back yard and honestly it might be all I want to deal with. They stay below head level, which is key for me.

Kathleen A- why oh why did I not think of native vines?! I guess I was just rose blinded. ὠ6 I have star jasmine along the front of my house on a fence and the only maintenance it needs is to tame it back, which I love. I would love something with lower maintenance and native. This will also solve another problem I was having: the rose stems would reach hard for the sun, which made them try to stick outward from the house. I had quite the time cutting and training to make it look nice. With something like Carolina Jessamine, it will stay close to the trellis. I have all winter to think about it but honestly the Carolina Jessamine is probably perfect for this spot. Thank you!

Eden is lovely, but has thorns.

check out ”Eden thread,”

https://www.houzz.com/discussions/4013161/eden-climbing-rose-blooming-question

I posted my photos end of thread. My favorite climber.

I have many climbets and all have moderate thorns. Honeymoon CL is a creamy white… has few thorns… maybe 7-8 ft -very hardy & lovely…totally my favorite white and happy climber!

I counted that I have 15 climbers…

Aloha, 2 Eden, Red Eden, Honeymoon, Strawberry Hill, Kiss Me Kate-pink, Laguna, Pomponella, Cinderella Fairy Tale-a princess light pink rose, Grahm Thomas, Kiss of Desire, Generous Gardner, Jasmina, James Galway. I had Handel & New Dawn-but removing them.

Some above have kess thorns… I will have to look closer…

@Kathleen A. I just bought (received this week) two very healthy 'Major Wheeler' coral huneysuckles to take to our cabin property in Gause to plant out. It will be placed along a 50' stretch of chain-link fence the front porch faces where it will have as much room to sprawl as 40 acres if it wants. :) I don't worry about plant space needs down there much. LOL. This photo was taken when they arrived, they have already put on long shoots/branches, so I think they will do nicely for me.

Any other Thornless Climber rose photo ……suggestions? My Cinderella Climber-almost thornless. Also, Shopshire Lad, Leander HT Climber. MORE IDEAS?

@Diane Brakefield

@flowersaremusic z5 Eastern WA

@rosecanadian

Consider Rangoon creeper.

I think those are sooooo pretty, @roselee z8b S.W. Texas