Sending HD satellite around the house

[RockyBalboa]

I am setting up a multiswitch with a quattro LNB and larger than average dish which will allow rooms around the house to have their own Sky box. However, I also want to distribute a single Sky box HD feed around the house.

As far as I am aware, I can do this by connecting the Sky box to the multiswitch and then from the Sky box via HDMI to a HDMI modulator and then via coax to a Distribution Amp to the various rooms... but is there any other way of doing this rather than using an expensive HD modulator? e.g. having the Sky box connect to a HDMI splitter and then sending a feed from there to each room?

[RockyBalboa]

Do you mean nothing can do it as cheaply as a HD modulator?

Alternatively, will a HDMI splitter work?