What is Reddit's opinion of 0.5 W Fail-Safe Long Range FM Transmitter - FS CZH-05B - Newly Revised: Dual Mode now with RCA Inputs?

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You could do this using 5 separate Bluetooth transmitters, I'm not aware of a single one that would work this way, but let me warn you that there's a risk that the audio and video won't sync well this way.

I would propose trying this: instead of Bluetooth, try setting up an FM transmitter, you shouldn't have any syncing issue, and it's compatible with more audio equipment.

https://www.amazon.com/dp/B003FO4UHW/ref=cm_sw_r_cp_apa_glt_fabc_MV1DKQS8ZWN9X8KXM09X?_encoding=UTF8&psc=1

Thanks for your input. I came across Sonos products several times while trying to find a solution for what I was looking for. However, they cost more than I was looking to spend, and I have no need for any more speakers.

I ended up ordering a well-reviewed FM transmitter that should have more than enough range for my purposes. Here's the link.

I've never used one, but amazon has this model with a 3mile range and some genuine looking reviews.

This is very cool, I think I found what you're talking about:
https://www.amazon.com/0-5-Fail-Safe-Long-Range-Transmitter/dp/B003FO4UHW

The only question is, would this signal be more hi-fi than a compressed bluetooth signal...

You need one of these

i use an FM transmitter to synchronize music in my house... old clock radios, boomboxes, aiwa stereos all work beautifully and can be had cheap.

http://www.amazon.com/0-5-Fail-Safe-Long-Range-Transmitter/dp/B003FO4UHW/ref=sr_1_1?ie=UTF8&qid=1453250978&sr=8-1&keywords=fail+safe+fm+transmitter

This is strong enough to get you in trouble with the FCC so mind your frequency and signal strength