Havana Central is usually good for large groups and might be fun for the girls. I've done a large party there and they were able to accomodate us with a set menu, which is always easier than a la carte.
it is in chelsea so a little south of what you might want but il bastardo might be a good choice. they even have a back back room that would fit the group comfortable. good italian not expensive but has a fun vibe with out being over the top.