<p>Although the title by OP says conservatories, I do not think the question was directed at stand alone conservatories only. The list is mostly universities. In which case you have to look at each university’s policies. Although Rice was not on the list, for example their policy states:</p>
<h1>For families whose income is $80,000 or less, Rice will meet 100 percent of need eligibility without loans.</h1>
<h1>For those whose income is above $80,000 and who are need eligible, Rice will cap the amount of loans in financial aid packages at $10,000 for the four undergraduate years.</h1>
<p>This includes the The Shepherd School of Music. The combination of merit and need are treated differently by different schools. From the above list, it appears thumper is right. If OP’s question was what are music schools that meet 100% of need, there would be a different list.</p>