There are LOTS of ways to enjoy Alaska without flying or boating. Many have mentioned Denali, that's an obvious one. Consider going to the Wrangells, specifically visit McCarthy. There is a VERY nice lodge there, that requires only that you park your car and walk across a foot bridge, unless they've now got a bridge across. Be aware that most rental car companies in AK prohibit going off paved roads with their cars, however.....and the road in to McCarthy is a long gravel one.
As noted by a few folks, Anchorage has a lot to offer, and so does Fairbanks. In Fairbanks, take a ride on the Riverboat Discovery, visit Dredge Number 8 and take one of the gold mine tours north of town. While in FAI, have dinner on the deck at Pikes or the Pump House, or better yet, at both. The Museum at the University of Alaska is a great place to spend a few hours, and isn't as crowded since the tour bus outfits no longer take their customers there (the museum refused to pay the tour companies...good for them).
The Alaska Railroad has "vista dome" passenger cars. Get a ticket on one of them from Anchorage to FAI. You could fly commercially in to ANC, train to Denali, get off there for a few days, then back on the train to FAI, and fly commercially out of FAI.
In Seward, south of Anchorage--a GREAT Sea Life Center. Go visit Seward. Beautiful drive if nothing else. Lots to see along that road.
And, you could park your Mom for a few hours while in Talkeetna and YOU could take a glacier flight. Trust me, this will be well worth the expense, and it'll be the flight of a lifetime. They only land on the glaciers early in the season, so early June would also be my recommendation for a trip.
Lots to see, and hopefully you'll both have a GREAT time.