I understand your reason for not wanting to use winter tyres and indeed when snow and ice are not around they will hamper the driving enjoyment. And yes, I recall from my 370 days chains don't fit.
But, potentially you may fall foul of certain countries rules should you get caught out, it seems, having just done a quick google check:
http://www.rac.co.uk/drive/travel/driving-abroad/winter/
Maybe someone on here can help reassure....