Sounds a lot like the situation in our 330TS. The space looks like it had been designed for a CRT type TV. My arm is not long enough to get a HDMI cable in from the access port in the closet so with an 8" forceps and a lot of patience, I finally got the cable in.
Would also like to run a HDMI cable from the DVD/Radio/Amp to the TV behind its wall but just too much stuff in the way.