If it's mostly sunny, moving the climbing hydrangeas there isn't a good idea. Personally, I'd go with something with color rather than the white sweet autumn clematis against the white brick. Can you provide a structure for the vine to climb? How about climbing roses? I think they look gorgeous against brick. There are lots of options there in a range of colors. Trumpet honeysuckle(lonicera sempervirens, not the invasive Japanese honeysuckle) is another choice in a different range of colors (red, orange, yellow).

Hi all. I am sure you've been asked this a million times but here I go. I live in the California Desert and I want to put a climbing vine on my fence line. We pretty much have sun all the time. It gets to be around 99 to 103 in the summer and 35 in the winter. I have read several of your post. I want something that grows fast doesn't have flowers because of bees and the dogs. I have nosey dogs. :)
Can not be a poisen plant. What can I use. Thank you