I know that Haverford College is need blind. I also believe that many other great LACs are also need-blind. Hopefully applying for FA won’t make a difference with your ability to get into Carleton, but yes, there are other wonderful small LACs out there that are need blind.
ETA: By doing a bit of searching online, it looks like many highly ranked LACs are need blind (as long as you aren’t international). Amherst, Middlebury, and Grinnell are just a few others that I found just now). If Carleton is your favorite, then by all means apply there, but perhaps adding in some need-blind LACs would be a wise move.