I'm sure there is a university that'll fit your needs. One suggestion though, you should look into doing one or two field schools prior to applying to grad school. By doing that you get hands on experience which will give you a clue if that is really what you want to do. Also, most archaeology grad programs prefer students that have field school experience. Another good thing to do is volunteer in your school's archaeology lab, if it has one. One huge job that an archaeologist has to do is the tedious task of cataloging, sorting, cleaning and analyzing the artifacts after the field season is over.
I don't think you'll have a problem finding a university that has only a masters program. A lot of archaeologists stop with a masters because that's all that's really needed. Unless you want to teach, then you'd have to get your PhD.