why get the extra box? get a digital card for the pc, and then you can record!
You can alos look for normal LCD TVs, but make sure they have DVI socket. i have a 45" screen and can plug my PC in to it via this.
Or get one with HDMI and get a dvi - hdmi cable off ebay for less than a tenner.
sooooo many options, but you are unlikely to find a massive range of dedicated PC monitors with freeview, but you should find a good range of the above options.