I'd look into this place. Newish hotel and never been inside but I was stunned by how affordable it was for its location downtown
www.hotelhugony.com
On the fringes of Soho/Tribeca/West Village so walkable to many great neighborhoods & restaurants. Also, just a couple blocks from the Hudson River and many great new parks being developed on the piers there

Hotel Hugo New York | Stylish Boutique Hotel in SoHo NYC
Experience urban elegance at Hotel Hugo in SoHo, NYC. Stylish rooms, rooftop views, chic ambiance, and timeless design await in the heart of Manhattan.

On the fringes of Soho/Tribeca/West Village so walkable to many great neighborhoods & restaurants. Also, just a couple blocks from the Hudson River and many great new parks being developed on the piers there