Happy to have you in Switzerland! I would suggest going to Eggishorn. Take a Train to Fiesch, close to Brig and the cable car to Eggishorn. Return trip is CHF 45. From there you have a fantastic view over the Altesch glacier and Eiger/Mönch/Jungfrau. You can even hike to the glacier if you have enough time.
Sounds like a good solution. Checked the train schedules and this seems to work. Just to be safe: This is in the core zone?
When will you be in Switzerland? Over a weekend?
I will fly in Friday 11 Aug and then head for the glacier. Given Swiss prices, I can't really afford extended stays. I will stay overnight in Bern and then head for Milan next day after breakfast and some siteseeing in Bern with a potential stop in Bellinzona.