We've received about 5-10 inquires from folks claiming to be traveling nurses and it's always the same. They start by requesting a discount of between 40%-80%. Sometimes they do this by claiming that "the price was different yesterday" and asking you to "honor it".
Then they are vague on the dates they want to stay and request extra things, like bringing pets, when you don't allow pets, or wanting you to refund them if they leave early, or having you block off your calendar so they have option of extending (at the reduced rate, of course).
Our first year hosting, we entertained hosting people claiming to be traveling nurses. It was just a hassle that ended one of two ways:
1. They just goes silent after claiming they're going to book.
2. They come back a day or two before their stay was going to start and are upset that the unit was booked by somebody else. They feel as though it should have been held for them.
My recommendation - don't give an inch to anybody claiming to be a traveling nurse. They're not going to book anyway and you'll just get frustrated.