Here is the link to the Resound device's web page. When the page opens you'll see the device. Then swipe to the left and find the PDF logo to view the set up instructions for the ReSound audio device. it's only a few pages and is a very quick read:
www.resound.com/en-us/help/accessories/tv-streamer-2
The link above is for the benefit of others who are smarter than I in figuring out his problem.
It sounds like his Hopper 3 is in some other room of the house requiring a long HDMI cable run. Not at all and ideal installation for a number of reasons including his current problem.
***It's actually only about 3 feet away but the only way to run the HDMI cable is to fish it down and Nader the house and then bring it back up behind the entertainment cabinet.
He does have the option of using the analog left and right audio outputs of the TV or even the hopper connecting to his ReSound device. It requires the use of a breakout cable, which from the instructions, seems to indicate that it, the breakout cable, comes with the Resound device. It's a mini jack plug at the ReSound device. Then at the other end of that cord is the left and right white and red RCA pin plugs that go into the hopper3 or TV audio out.
However my experience has been that if the HDMI input is active on the TV, the optical audio (ARC) will not output any audio. I don't know if any sound comes out of the TVs analog right left outputs if an HDMI input is active. He could try that experiment, but it would require the same problem of going under his house Etc.
I do have the analog breakout cable but my tv does not have any analog connections (Samsung KS8000).
Generally speaking the output of the optical from the television is for OTA, So if you want any audio from the TV's Optical output, then you need to select that as the source from the television itself, but, of course, that will only provide OTA picture and sound not any of the HDMI inputs such as for a Dish Hopper 3, and if one is using an input designed for ARC, well that creates more problems because the ARC input on the AV receiver or soundbar is not a straightforward input because if there is more than one device assigned to it, ARC will automatically prioritize signal coming from the TV itself and prevent any other devices using that same input from being accessed unless you turn off the television.
***Before I had DISH installed I was running an optical cable from the streamer to the tv and an HDMI cable from HDMI-ARC on the tv to the HDMI-ARC on the soundbar which at that time was also a Samsung. BUT, the Samsung does not play nice with the soundbar hooked up this way unless they are a Samsung soundbar. I no longer have that soundbar and am now using a Vizio 4051-CO. So now I have to run the optical from the tv to the soundbar, thus leaving no connection for the streamer! Tried an optical splitter and that didn't work. If I run a Coax digital cable from the streamer it will probably work but I would have to change the input on the soundbar and then nobody else would hear what's playing on the tv.
Also the ReSound device, I believe, uses the 5 gigahertz band and not the Bluetooth band somewhere around what 2.45 or something, I forget.
Of course 1 option for the OP would be to use the built-in Bluetooth of the hopper 3 or add Bluetooth to a joey, but considering his distance from the Dish unit providing the picture and audio, Bluetooth just doesn't have the range for is cited distance. Bluetooth at his distance would at best be spotty and unreliable or even worse not working at all.
***No luck trying to pair via Bluetooth.
Like I said, not your plain Jane problem but thank you very much for taking such an in-depth look at it. When I put the streamer into pairing mode the Hopper cannot find an devices.