Kiotaka,
We didn't pursue why the laptop connection didn't work, since we just needed to check personal email. However, my DH suspected that the router needed to be reset after a short power outage. Don't know if that would have fixed it - we reported the problem to the front desk, but don't know if it got relayed - the problem didn't get fixed by the next day. We just shrugged our shoulders.
As I said, Alpenglow had a guest computer they let us use for $3. There are also coffeehouses in Whitefish that have Wi-Fi.
We had ribs at the top of the mountain - rode the chairlift up. Great view, tasty ribs.
Loula's in Whitefish is a cool breakfast and lunch place - awesome huckleberry pie. High ceilings, quilts on the wall, funky art, casual atmosphere.
There are a number of restaurants within walking distance on Big Mountain - most were not open for lunch and we didn't usually eat dinner out. Alpenglow had a nice dining room and deck.
There's a small on-site store, but you should get groceries in Whitefish.
Nice touch at check-in - we found a bottle of wine in the refrigerator with a welcome note from the resort.
Ginny