Hi Apache
You’ll have a great time Zermatt, I’m sure. There was a single traveller in our chalet a few years back, who didn’t pay much of a supplement; it was his second visit to the same chalet for that reason. He couldn’t ski due to injury, but did lots of other stuff (including guided walks etc).
As for the skiing, there is quite a bit of variety - we loved the fantastic vertical you gain from a run from the glacier all the way back to town. We also enjoyed skiing the Rothorn best overall.
The link with Cervinia can be hit n miss really - it was only open twice during our week, so if it is during yours don’t miss it - I’d recommend the great run towards Valtournenche and lunch at Chalet Etoile (otherwise, the dining is better on the Zermatt side!).
Our group has also used Inghams several times - finding a single room in the Alpenrose in Galtur for example, and skiing Ischgl (also good for early / late visits)
Enjoy - and do report back.
Would love to hear more about the smaller resorts you mention - where have you been recently?
Wendy