For someone who wants to stay longer than 29 days, there's a few options and the price changes accordingly:
Pay us in cash with no receipt = cheapest price, stay as long as you like (about $600 a month paid daily or weekly). This is a gray area in our county right now as to how much rights you have. Basically, if we ask you to leave, you have to leave.
Pay us digitally = about $950 a month. This is because of taxes and subletting laws in our state. If you stay longer than one month, even though we havent offered you a lease, the state forces us to offer you one. If we call the cops to kick you out, they won't kick you out.
For reference, our apartment is $2000 a month with utilities and internet included, so $950 is slightly less than the price of a full bedroom.
Most airbnbs charge way way more than this. We are saving money by screening roommates (completely legal in our county) for factors we feel will protect us from financial and physical harm. And downtown manhattan, a 2 bedroom is like $4400 a month lol.
Anyway, good luck with your search! These are the factors that are influencing your search.
Ask friends of friends for who has open rooms :)