You don't need one which turns off both/either output. One of the issues you may run into related to audio is that if your local zone supports surround sound, and the other does not, then there may be a conflict and the DirecTV may simply push surround sound out to the A/V receiver. This may not be something which you can actually overcome without using a EDID minder.
Depending on the model of receiver you have, if you have Component Video outputs, you may be able to use them, or digital audio or analog audio connections to get audio to the second TV.
This is the absolute top tier BS headache of HDMI that it does not support surround sound and stereo audio at the same time. 45 channels of available audio, and they skimp on the two channels that people actually need.
Anyway, you may be out of luck, but that SWITCH linked to above is the wrong product. It's not a splitter, but a switch.
Whatever splitter you get, you want it to be powered, not just a pigtail connection.
Like this:
https://www.amazon.com/ViewHD-Powered-Splitter-1080P-Model/dp/B004F9LVXC/ref=sr_1_5?ie=UTF8&qid=1477704710&sr=8-5&keywords=hdmi+splitter+1x2
But, even then, if the TVs support different resolutions, and different audio formats, there is no guarantee of proper compatibility all the time because of the configuration differences between your components.