The answer to your question depends on the specific property and the way they handle parking. I know at least a couple HH properties that allow free parking (more or less unlimited) if you were a hotel guest for at least one night. At the same time, other properties are much more strict, requiring you to pay park-and-fly rate and charging extra if you park for more than 7 or 14 days. Incidentally, park-and-fly rate may be lower than their regular rates.