I am a travel nurse myself, I would say the demand has dropped a little bit since March but it has picked back up. I am not sure why its picked back up besides the continual nursing shortage that never gets better. My best hypothesis is that nurses like traveling and not being a "staff" nurse that involves the politics of being an employee. There were definitely higher paying jobs last year than now, but the pay is still well over double that of a staff nurse and that will keep people traveling.
With my rental, I list on furnished finder but also put it on airbnb for greater than 1 month rentals and have had no problem keeping it rented. My place is also in Denver which has always been a hot spot for travel nurses.
I do think that if you are hoping for travel nurses in more small town/suburbs, I think that demand will drop more. During C19, the pay in places like Fargo, ND and these small rural hospitals that were severely understaffed were paying outrageous money, some 7-8k a week. That will not continue as hospitals cant sustain it. But in "fun, exciting" locations, travel nursing will continue. Just my thinking as a current travel nurse and feeling out the market.