I immediately thought of Facebuster. I have never used it personally, but it always catches my eye, and such a great name. A font with no counters: http://new.myfonts.com/fonts/facetype/grafinc/.

Klimax by Ondrej Jób has little counters in the Plus weight which may help preserve letter shapes if you're going to put images in it.

Blou from YWFT.
Corpulent from Suitcase Type.

The (famous) 'Fat Font Fad' list, compiled by Stewf › http://typophile.com/node/42643 ;)

St Atmos by stereotypes.de
http://new.myfonts.com/fonts/stereotypes/st-atmos/

Dez Squeeze works well as a picture frame

http://new.myfonts.com/fonts/dezcom/dez-squeeze/

Tank from Typodermic was designed for framing images. There are counterless alternates.

Joufflou NF fills the bill. Vacation Postcard NF, a freeware font, was developed specifically to mimic image-filled postcard type. A commercial version (improved outlines, expanded character set) will be coming out soon.

Leyton by The Colour Grey.

If so: Gravity Supernova.

I just happened upon Big Foot and rememebred this thread...

http://new.myfonts.com/fonts/canadatype/bigfoot/