I'm not sure how much shade you are talking...most roses like at least 6 hrs of sun, but some can handle 4 hrs...in your heat maybe less. I tried to grow drift roses in the dappled shade of Sycamores, but had to move them to full sun due to poor blooming performance. I replaced them with Gruss an Aachen and have had very good luck with those. They bloom in flushes (about once a month for me) with scattered blooms in between. Others that bloom decently for me with much less sun than recommended are Eutin and Marmalade Skies. Bonica is reportedly very shade tolerant, but I don't have any experience with that one. David Austin roses normally prefer morning sun only or dappled all day sun in high heat areas...some can be monsters in warmer climates, though, so you would need to ask which varieties stay small in your area. Also, if you are in a humid climate, keep in mind roses are much more prone to blackspot and other fungal issues in shadier spots.

Thank you! This is exactly the information I am looking for!

Thanks again!