Could I do this with bog standard 1080p HDMI monitiors?
No, but you should be able to do that with bog standard 1080p display port monitors.
From the Microsoft website which you linked you:
HDTV: If your TV has an HDMI port, you’ll need a HDMI cable and a Mini DisplayPort to HD AV adapter or an HDMI to Mini DisplayPort cable (sold separately).
I read HDMI to Mini DisplayPort cable
as:
- From display port to HDMI
- And "cable" as "something with two plugs on it. One DP, one HDMI. The actual part between does not need to be a cable but can be active electronics instead".
Combine that with the known ability of display port monitors to daisy-chain and you have your answer.