Yes, a possible solution is to not use PAR at all! You can replace:

use PAR;
use lib 'Bam-Kapow';
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(a.k.a. use PAR 'Bam-Kapow';) by:

BEGIN {
  use Archive::Zip;
  my $zip = new Archive::Zip('Bam-Kapow.par');
  $zip->extractTree('', 'shazam/');
  use lib 'shazam/lib';
}
END { use File::Path; rmtree 'shazam/'; }
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which produces the output:

Using Bam::Kapow version 0.01
MOTD: Message of the day: PAR rules!

Got Bam::Kapow from shazam/lib/Bam/Kapow.pm
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Of course, it would be nicer if PAR provided an option to do that, something like:

use PAR 'extract';
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which would make it behave the same way it does when it's wrapped up in an executable.