UKC

I'm going skiing at the beginning of March to Mayrhofen. I would like to do a day of easy ice climbing (WI3 or somewhere to top rope harder) in the local area, preferably somewhere that doesn't require me to hire a car. Does anyone know of any icefalls in the area that would fit the bill? Single pitch or multipitch, we will have a valley ski pass too if that any help. Thank in advanced for any recommendations.