Well, the tactic we took was simply requiring her to apply to at least one in-state school as a condition of us supporting her in college. We also told here our ability to support her financially was limited to about the equivalent of $1,000 per month - the rest would need to be from scholarships, loans, etc. In other words, we were honest with her and required her to have at least one choice that wouldn't get her into a lot of debt.
Otherwise, it was whatever she wanted. Apply as you wish within limits (in other words, paying 20 or 30 application fees would be ridiculous but a reasonable number like 10-ish would be fine). Visits are good too, within reasonable numbers.
In the end, she surprisingly picked TU. KU and OU would have been less expensive and probably incurred her no debt. Loyola and SLU would have incurred more debt for her though, especially Loyola.
Not sure what would have happened if she had gotten into the University of Chicago though. She really liked it and might have been willing to take on substantial debt to make it work. Not sure.