I’m curious to know what is on your computer that you wish to stream to your hearing aids? For me, it seems like a nuisance picking up sound like email notifications, and other unwanted sounds.
Is it movies, or videos, or music, or something of that nature? If so, then maybe connect your computer and your TV to the same WiFi network, and then use your TV remote to play movies, or videos, or music (that reside on your PC) and then watch/listen/stream all on your TV using the TV Adapter.
Setup could be 
an 8-Terabyte external harddrive for storage of that type of media connected to a network PC and use the TV Remote to scroll thru movies, music, pictures and then watch and stream (whatever you choose) without ever getting up from your living room chair.