General :: Expressing A Specific Range With Regex And Perl Extractors?

I am tryng to get values BBA 204- BBA 324 from a log file.

this is my script:

zmore log.gz | perl -nle 'print for m/BBAs[2|3][0-9][0-4]/g' | sort -u | perl -ne 'print if /^BBAs204$/../^BBAs324$/'

the first perl one liner gives me everything from BBA 200 to BBA 394, and the second perl one liner cuts it down to BBA 204 to BBA 324

Is there a elegant regex that will allow me to skip the second perl one liner and just take out the BBA 204 - BBA 324