Fly their ATF in to see them for a weekend or a day?  I've been talking with one of my atf's about flying her in for a 24 hour date.  I was wondering, In long run, Would it be cheaper if I just flew out to see her instead?

Depends upon what she charges for travelling visits.  You should ask her how much her visit fee would be for 24 hours and throw in the cost of airfare and hotel.  I assume that you would provide transportation from and to the airport.  If her 24 hour fee is the same as she would charge if you flew to her city, then you should let he visit you because the trip costs would be roughly the same if you visited her.  Plus, she would get a chance to visit your home city, which can be great for her if she has never been there.

Depends upon what she charges for travelling visits.  You should ask her how much her visit fee would be for 24 hours and throw in the cost of airfare and hotel.  I assume that you would provide transportation from and to the airport.  If her 24 hour fee is the same as she would charge if you flew to her city, then you should let he visit you because the trip costs would be roughly the same if you visited her.  Plus, she would get a chance to visit your home city, which can be great for her if she has never been there.