Are there any bars or eateries in Austin with covered patios, where you can enjoy a rainy day while having a meal? If they are dog friendly, that would be even better!
Guero's on South Congress has a small patio that allows dogs. Not the greatest Tex-Mex in town, but great people watching!
These venues have al fresco dining or bar menu service:
Don't know about the dogs, but I imagine this would be difficult at the better places.
Mansion on Judges Hill
South Congress Cafe
Shoal Creek Saloon
Dog and Duck