So Joshua Tree is too big of a meet/meat market for you and Third and Long is a little too laid back. What's in the middle? I'm glad you asked. It's called Rodeo Bar and it's not one of it's kind. This one is on the same block as the other 2 I've mentioned. Third and Long is on one corner, Joshua Tree is in the middle and Rodeo Bar is at the bottom corner.
This is not a place for cowboys though. Rodeo Bar or not it's in midtown Manhattan so leave the boots and belt buckles at home. You MIGHT be able to get away with that at the Rodeo bar on the west side near Port Authority but not here. It's not quite a packed with yuppies looking to hook up as J Tree but not exactly beer chugging over football like Third and Long. This is just your average bar in a nice neighborhood. Like Joshua Tree, a nice thing about this place is in the summertime when the floor to ceiling windows open into gigantic doors, effectively taking out the front side wall.
Nothing too appealing outside of an escape from the other 2 places if you have your heart set on that area.