Hi Kayhouser -
Thanks for including your dates of travel. They are important,because at that time of the year, some services such as lake boats run on a reduced schedule, compared to the Summer months.
Take a look at the Lake Lucerne region link that Annika provided. A lake boat ride there might fit your group's need to minimize walking.
Could you comment on what "long distances" means?
<<"One in our group cant walk long distances.">>
In general, walking is an accepted mode of public transportation in Switzerland, which might require a bit of vigilance in your planning. So it might be wise to take a look at a map of destinations such as Schaffhausen and Engelberg (Titlis) to see if they would require too much walking. Buses are available, and may be useful.
This map (Mapsearch.ch) can be used to clearly show bus stops (etc.) , by using the menu (star in a circle/traffic). For Swiss public transport, I find it more useful than Google maps. Mouse over the icons and you get the exact name of the station or stop, which is helpful to use in the timetable linked by Annika.
If you switch to the aerial view, you can get a limited sense of the terrain. It doesn't really show altitudes; a topographic map can do that, but that might be overkill for your needs.
I have linked to one for Engelberg, just for a sample, after the Mapsearch map:
map.search.ch/?pos=673350,185594&z=51 2&poi=bergbahn,haltest elle,zug
You'll note on that map that the nearest cableway stations to the train station in Engelberg are about 300 meters away from the train station, but, there is a bus to them. That is just an example of what I mean by looking over the locations.
Here is a topo map of Engleberg, which, as I noted, may be much more than you need or want. But , it does show altitudes, if you need that level of detail:
map.geo.admin.ch/?topic=swisstopo&lang=e n&bgLayer=ch.swisstopo .pixelkarte-farbe&catalogNodes=139 2,1538,1396,1430,1436& layers=ch.swisstopo.sw isstlm3d-wanderwege&E=2673000.7 2&N=1185680.08&zoom=8& layers_visibility=fals e
You can see that those cableway stations nearest to the railroad station are at almost exactly the same altitude around 996 to 999 meters... a level walk.
In case you are from the US, a meter is about 10% longer than a yard. ;-)