Re: Do you know of any pet friendly hotels near the park in walking distance?
Don't dismiss the Motel 6 right away! We just stayed there in January for the Tinkerbell half marathon. My friend brought her Corgi and we had a blast! The hotel is newly renovated and the rooms are actually pretty dang modern and comfortable. Nicer actually than the Clarion, which we stayed at a few weeks later with the corgi and it was miserable. And like twice the price. AND they charge extra for the dog and for parking!
As far as the distance, it's actually a very reasonable walk. I'd say its about the same distance as Main Street in Disneyland to Paradise Pier in DCA. You also have shuttle options.
Seriously, take a second look at the Motel 6. It will surprise you.