I'm in the same situation, purchased a TV from Dick Smith around 18 months ago and recently tried to connect a Zinwell freeview HD box to it. The TV only has a DVI input but the manual says it is hdcp capable, so a hdmi/dvi adapter or cable should work fine. No joy from the zinwell box with multiple cables/adapter options and the hd box was returned. I'm running an ET box now (which has no copy protection on either hd outputs, component or hdmi) into TV's DVI input no problems.
So a dvi input that doesn't work with any copy protected source is problem #1, (which probably includes all bluray/ps3 etc). I know I've had this TV a while but I figure that the freeview HD source is still relatively new, so I was not likely to have checked this aspect of the hd input when I purchased it and could only go on what the manual says (hdcp capable) and what the sales guy said as well.
Second problem is that when I checked the manual the screen resolution is something crazy like 852x480, which I can only guess is some NTSC standard resolution. So even if I can get a HD source to connect, I've got nowhere near enough pixels to really show it. So my "ready for HD" screen is totally different to a "HD ready" screen.
I figure this is almost the exact same situation you were in so I've contacted Dick Smith and have linked to this thread for them to view. I'll post back on any (if any) response I get from Dick Smith, but I'm really hoping I have a story to tell similar to your outcome!