Dougo, there is another solution if you are willing to take a serious look at OSM-based topo maps. The best in this field is the German Freizeitkarte and their map of the Alps (2.17GB) is covering the area you are talking about. You can download the img for your GPS and the gmap version for use with Basecamp and yes, these maps are searchable and have autorouting as well.

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Just try it and discover how good these maps are nowadays compared with Garmin's own maps.
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