If you need a place to stay only 1 place worthy in town. It is located roughly 15 minutes from the house. They are not pet friendly but charming for sure. https://driftinnidaho.com/ Charming city square option.
For after hours check-in please make prior arrangements.
There is a Best Western in Burley about 30 minutes away, and is dog friendly. Other coventional places in Burley.
At the square in Rupert. Henry's is excellent steak etc, The chatterbox also on the square is your go to for breakfast. 5th Street Deli has wonderful salads and sandwiches. Doc's Pizza is a local favorite but close at 6PM.