What is in place to address player injuries/ailments? Will the team have its own trainer? Does the trainer travel with the team? Where do the players receive treatment and what are the medical facilities like?
This is important especially at smaller programs, and I would add to ask about whether (if at all) the school offers secondary or supplementary insurance to cover the costs of treatment outside of school that your insurance may not fully pay. As Squirrel points out, and I can attest to, even if your kid has never been hurt, you can just about guarantee that she will get banged up somewhere along the way in college and that's the wrong moment to find out about trainers, treatment, and costs, if any.
Building on JR's question on class-sport conflicts, it's good to understand how many classes will be missed in the spring and how the player is expected to handle that.
At some smaller schools, parents are expected to help pay for equipment and/or travel - good to know what you might have to fork out. Also good to ask about any coach rules on working during either the fall or spring. I've heard of, but haven't experienced, situations where part of the aid is part time work only to have that nixed by the coach.
Also good to ask about the offseason schedule (there can be class conflicts here, too) and the expectations over the summer, if any.