How do you find pre-miRNAs from mature miRNA Blast output?
DISCLAIMER: I have never worked with miRNAs.

However, from what little I know, the mature miRNA is produced by modifying the pre-miRNA. This means that you should be able to infer the pre-miRNA by mapping your miRNA to the genome using a tool like BLAT. Since you already have an EST which represents a transcribed sequence, you can map your EST back to the genome. You can simplify this by using a tool like exonerate that also models splicing.