I have five pet-friendly homes in historic Beacon Hills and Woodlawn just north of downtown. If you are interested in a longer - a month-or-more stay - at discount, contact me for a quote with the number of days.
The other places sleep 2, 4 and 6 and are also listed on airbnb. If one is booked, try for the others. To find them, go to the bottom of this page to my photo, click it, scroll to "Listings" and you'll see three "Pet Friendly" listings. Click the photo to go to the other homes.