When you Google/Bing for a song's chords, Search For: (song title chords), the hits will almost always come up with the chord name properly placed within/over the lyrics.
The very first hit listed for such a search, "I Will Follow You Into the Dark chords" resulted in a very nice graphic of the lyrics with chords, notes on the intro and playing hints. There are many such returns from my Bing search.
The big issue is accuracy. Song chords/tabs found on the 'net are notoriously inaccurate and often appear in different keys. Different versions of the same song are found on the same web site. Sometimes the chords agree with those being taught by GT...but maybe not.
It's not what you're asking for, i.e., lyrics and chords published by GT. I'd like that too...a bunch! But searching for song chords works quite nicely compared to what you've described. It's not a biggie to transpose/correct chords to match GT or some other source on whichever page you choose to print (assuming a modicum of accuracy on the web page). That's how I build my fake books.
"It takes a lot of devotion and work, or maybe I should say play, because if you love it, that's what it amounts to. I haven't found any shortcuts, and I've been looking for a long time."
-- Chet Atkins
-- Chet Atkins