Use LWP::UserAgent (which is what LWP::Simple is built upon) directly:

my $ua = LWP::UserAgent->new(max_size => 300);
for my $url (@urls) {
   my $response = $ua->get($url);
   if ($response->is_success) { print $response->content;  }
   else { die $response->status_line; }
}
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