When I grew roses in Austin, TX, I was very fond of Old Blush. Sun Flare did well for me. Although Ballerina suffered from black spot in its first season, once it settled in and hardened off, it seemed pretty unaffected. I planted New Dawn on the south side of the house near a downspout and it became a monster overnight.
My zone here (7b) does not quite qualify as either a warm zone or a cool one since we have cool summers, warm winters, and devastating late spring frosts. Some of these roses might work in TX. Larissa and Crocus Rose have done the best for me in terms of vigor, disease resistance, and shrubbiness. Lady of Shalott is almost as good. I'm very pleased with Europeana, South Africa, and Rainbow Sorbet. Marchioness of Londonderry may benefit from pegging, but it is a beautiful and durable plant. And I'm pleased with Madam Isaac Perriere.
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edited for clarity, syntax, punctuation, etc.