Did a quick proof of concept to see if I could stream a zip file straight to a browser while it was being created.
The CGI script below is hard wired to create a zip file that contains the contents of two files, namely /tmp/file1 and /tmp/file2.
use IO::Compress::Zip qw(:all) ;
$| = 1;
my $OUT = \*STDOUT;
Status: 200 OK
my @files = qw(/tmp/file1 /tmp/file2) ;
zip [@files] => '-',
FilterEnvelope => sub
# Chunk the output
my $length = length($_);
$_ = sprintf("%x", $length) . "\r\n" . $_ . "\r\n";
$_ .= "\r\n" unless $length;
Whether this helps in your use-case is depends on where the 10 minute delay comes from. If the delay is CPU/network related, this may help a bit, but it probably won't solve the issue for you.
Anyway, had created the code written, so thought I'd share it with you.