Thanks guys I had already thought of that as I am in IT myself.
The TV is 15"x13"x3" in old money and is just too big to fit in a normal laptop case, there are neoprene sleeves for laptops but I don't think they will stretch easily to the 3" thickness of my TV.
I must second RR's cool bag suggestion - have used these for delicate computer and electronic equipment for years and they are excellent - they come in all sizes, including one suitable for a 15"telly and most supermarkets will start stocking them again in a few weeks.
There are a number of ebay and other sellers in MMM and the CC magazine as I remember who make bags for all manner of outdoor and camping gear, one of which advertised bags for tellys. Although tough, these bags were not padded and the cool bag is IMO the better option.