From Long delay with Crypt::SSLeay and LWP, the thing you linked and read and tried a "solution" from, the diagnostic steps 

#!/usr/bin/perl --
use LWP::Simple ;
use IO::Socket::SSL qw(debug3);
get( q{https://pilot-payflowpro.paypal.com/} );
get( q{https://xxxx.ucf.edu} );
__END__

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In reply to Re^6: LWP Can't POST to HTTPS by Anonymous Monk
in thread LWP Can't POST to HTTPS by dorko

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