My turnaround time depends on the amount of work that comes in on any given week. However, on average, you would be looking at three to four business days from the day I receive your package.
Both finishes will give the titanium a darker look. A stonewash finish, however, would be smooth to the touch and a sandblasted finish will have a slightly rough feel, like fine grit sandpaper. A stonewash finish will also cause any anodizing to appear duller or more subdued.
This is mostly a matter of opinion, however, the random line anodizing looks great on a sandblasted or polished finish. For a stonewashed finish, a two tone finish (such as my blue denim, or lady liberty finish) looks great.