LWP::Protocol::PSGI turned out to be a bust, so some more reading of of LWP::Protocol::http and LWP::Protocol::https revealed Net::HTTP::Methods::format_request

#!/usr/bin/perl --
use strict; use warnings;
use LWP;

sub LWP::Protocol::http::SocketMethods::format_request {
    package LWP::Protocol::http::SocketMethods;
    my( $socket, $method, $fullpath, @h ) = @_;
    my $req_buf = $socket->Net::HTTP::Methods::format_request($method,
+ $fullpath, @h);
    Data::Dump::dd( $req_buf );
    return $req_buf;
}
LWP::UserAgent->new->get( q{http://example.com/} )->dump;
__END__
"GET / HTTP/1.1\r\nTE: deflate,gzip;q=0.3\r\nConnection: TE, close\r\n
+Host: example.com\r\nUser-Agent: libwww-perl/6.05\r\n\r\n"
HTTP/1.1 200 OK
Cache-Control: max-age=604800
Connection: close
Date: Sat, 24 May 2014 19:06:51 GMT
Accept-Ranges: bytes
ETag: "359670651"
Server: ECS (sjc/4FCE)
Content-Length: 1270
Content-Type: text/html
Expires: Sat, 31 May 2014 19:06:51 GMT
Last-Modified: Fri, 09 Aug 2013 23:54:35 GMT
Client-Date: Sat, 24 May 2014 19:13:24 GMT
Client-Peer: 93.184.216.119:80
Client-Response-Num: 1
Title: Example Domain
X-Cache: HIT
X-Ec-Custom-Error: 1
X-Meta-Charset: utf-8
X-Meta-Viewport: width=device-width, initial-scale=1
...
[download]

---

---

Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!

Titles consisting of a single word are discouraged, and in most cases are disallowed outright.

Read Where should I post X? if you're not absolutely sure you're posting in the right place.

Please read these before you post! —

• How do I compose an effective node title?
• How do I post a question effectively?
• Markup in the Monastery

Posts may use any of the Perl Monks Approved HTML tags:

a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr

You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)

	For:		Use:
	&		&
	<		&lt;
	>		&gt;
	[		&#91;
	]		&#93;

Link using PerlMonks shortcuts! What shortcuts can I use for linking?

See Writeup Formatting Tips and other pages linked from there for more info.