You state that the WNCE is battling to see the extender. From that statement I assume that your wifi coverage isn't strong enough for the WNCE to get a good lock. The WNCE2001 has modest receive range. I have used several and they need to be placed in an area that has good signal strength. Anything marginal and it will drop off the net.
If you can't improve the signal strength near the TV I would suggest looking at using Powerline system to get the net to the TV. It will cost a bit more then the WNCE2001 but may resolve your issue best as with a good install (ie no power line noise to corrupt it) it will give you more bandwidth then the WNCE2001.
Another option I will add though as it worked for me is if you use a Netgear...