On Thu, 1 Nov 2012 07:10:30 -0700 (PDT), Robert Macy
wrote:

So, a brush is the
most convenient way that I'd like to stay with. So, why has this
turned into a fiasco? Why can't these walls be painted with a brush?
What am I doing wrong here?

Get some thick nap roller covers (1/2-3/4 inch) and roll the paint on.

I'd still like to see a photo of your stucco texture. Is it really a
sand finish or a light knock-down texture?

Are you following the paint can label for proper temperatures?