This depends. $45pp is close to impossible for even a buffet dinner, but I don't know what you're expecting it to include. What neighborhood are you looking at?
One of the better deals in town is reBar, which gives you everything - venue, alcohol, food, etc - for ~110 people at about $12k before tips as long as you have the wedding on a Sunday.
Would you be okay with renting a loft and just doing a cocktail reception with passed apps? That would be more realistic within that budget. Another great idea would be to do a Sunday brunch.