M&S have a good range of generous scarves that you can wrap around your neck and then let the ends drape down your front. My fave at the moment is a black/grey/tan leopard affair. Can't find it online though. Gap are also good for scarves.
Are you near a TK Maxx? They always have a huge range in all colours and sizes. I only ever wear thickish scarves (I.e. not silky) and I prefer square as I tend to turn them into a triangle or tie them in a loop. I assume if you're thinking of hiding tum you want them big not small.
I also have a plain jersey infinity scarf that's very warm and useful.
Primark is great for oversized scarves for about £3 or £4 each - a great place to start. I am a scarf junkie - have loads from all sorts of places, and I get as much wear/compliments out of the Primark ones as those from anywhere else