I'm sure it's
possible to drill into brick and mount the antenna on the side of your house. Stucco itself is too crumbly to hold the weight.
I personally just went with a roof mount. Back in the day, I did my own 2-dish installation before the trees leafed out. Then, when they did, I was shocked... SHOCKED that I lost 119.
So much for where I thought the dish was pointing. So I moved both dishes from the back to the front of the house. I never had a leak. My current house has two dishes left over from my mixed-arc days, the one for 61.5 now replaced with an EA dish
with struts. Lots of holes through my roof, and zero leaks.
About the only good reason I can see for having a dish mounted lower is to make it easier to brush off the snow.