100 feet of good HDMI cable without video loss will cost you almost as much as the new Pioneer VSX-919AH-K receiver, which retail for $399 brand new.
And that new Pioneer receiver will decode the new high resolution audio codecs with HDMI inputs (3) and output (1). It is exactly what you are asking for.
Check also the VSX-819-H which retail for only $299.
I'm sure you'll be able to get a lower street price on any model you choose.
Check here:
http://www.pioneerelectronics.com/Ephox/StaticFiles/PUSA/Files/VSX-919AH-K.pdf Just click on "Products", then "Home audio/video" and finally "A/V receivers".
Check their full feature's list, their specs, their brochures and their manuals.
The VSX-919AH-K is quite amazing for that price. I'll bet you can even get it for somewhere around $329 or so.
Bob