There are a decent number of LACs where, regardless of whether they have stated scholarships or not, it would be possible to get $30K off listed price. Look for ones (typically in the Midwest and South) where average merit money given out is 15K+ and you are in the top quarter by stats. Possibly Denison, Depauw, etc. Oh, also possibly Catholic schools (like DePaul).
See if you can work the field hockey angle as well.
But why didn’t you like UVa?