She's a pitcher and a junior. Can the offer change between now and her senior year? I think her family was hoping for a full-ride but have said that they will bridge the difference in the past. Getting absolutely no money the first year (coach made no mention of speaking with admissions about academic money whatsoever) is a huge bridge.
The offer can always change until the players signs the NLI. Sometimes the changes can be positive (increase) and sometimes they can be negative (decrease). Your best option is to negotiate the best deal you can up front because once your DD signs, the coach would prefer to spend any extra money they have on new players vs. existing.