I thought you were having trouble with your television. (TV) (They're getting smarter.)
The expression 'would drop its wireless connection' isn't fully clear.
If you're maintaining a Tv connection but losing general (remote) internet access, then you're maintaining an active link. If you're saying that even your Tv connection fails after a while connected, then you certainly have a wireless issue.
Things I'd consider would be a wireless efficiency problem, in the sense of Tv overloading the bandwidth (speed, not quantity), in which case you'd have to look at your router's suitability and/or its placement.
You might also check on the wireless drivers in both your remote machine and the router's firmware. Many times, drivers are updated.
Do also a CCleaner or FreeFixer refresh, or both.