From here:

qblast(program, database, sequence, 
       ncbi_gi=None, descriptions=None,
       alignments=None, expect=None,
       matrix=None, filter=None,
       format_type=None, hitlist_size=None,
       entrez_query='(none)')

Did you try setting descriptions, alignments, and/or hitlist_size?

According to this post here (a little outdated I admit), you will want to override the hitlist_size defaults.

Hello Niek,

Daniel pointed out an email to the Biopython mailing list which answers your question - basically try reading the built in documentation. This is also mentioned in the Biopython Tutorial, quote:

For more about the optional BLAST arguments, we refer you to the NCBI’s own documentation, or that built into Biopython:
from Bio.Blast import NCBIWWW
help(NCBIWWW.qblast)

Also audyyy pointed out some old (but apparently still relevant) documentation from Andrew Dalke's homepage.

You said

I've been looking all over but can't find how to make that number higher.

so you probably looked at some of these bits of documentation (right?). Could you suggest how it could be made clearer for newcomers? Feedback does help to improve the docs.

Thanks,
Peter