I know for 17's £150 is about right for conti, Goodyear & Dunlop. I noticed some Pirelli sotto for £120 on mytyres. Not as good as the three mentioned but have a very good wet rating which is what you need for winters here in the uk as the snow capabilities not as critical but nice to know you can get about still.
Hankook are really coming good with tyres there not quite in the top 3 overall but they seem to make them (including summer tyres) so they are very good in the wet. There also £10-15 cheaper than the other 3 which can't be bad either.
I bought a pair of infinity winter Heros a couple of winters ago and they are absolute rubbish if there's any moisture on the roads. I always have them on the fronts as they slide so much. Turn the temperature below -5C and there a different tyre! No good for this country though. I've learnt my lesson with cheaper budgets on that one. They were still £160 the pair, but unfortunately it was when there was a winter tyre shortage so had to take what was available.