I'm currently applying for Assistant Professor positions. I've gone on 8 interviews (first visits) in the last two month, and have 3 more scheduled for January. I also have 2 second vists scheduled for January, and I was told verbally and in email that I would be receiving written job offers at those second visits. One of these (second visit) schools is very attractive to me, one isn't. I have nothing in writing yet.
My problem is that today I received 3 additional invitations for "second visits". I'm not really interested in accepting offers from these schools - I'm more interested in the one that already called, as well as the 3 schools that I still have yet to go on "first visits" to. Should I turn these schools down? I'm very nervous about that, since I don't have any offers in writing yet. I'm exhausted from all the traveling and would really like to not re-visit schools I don't want to go to.
Would it be appropriate to make these schools wait until after I've visited all the schools (that have called so far) a first time? At least that way I wouldn't be telling them "no", but keeping them in reserve. My second visit to the school that I want is at the end of January - can I realistically put these 3 schools off that long?