I'd like to try to do Alaska, but it's just that ice and snow aren't on my fun list
Unless you "go to the snow" you won't see ice or snow in Alaska during the cruising season. If you choose certain shore excursions, like taking a helicopter to land on a glacier, you will, well, land on a glacier!
The last time I cruised to Alaska was July 2007. Juneau was close to 80 degrees, as was Ketchikan. It was warm in Skagway, too, but raining. The only cold weather we encountered was the day we spent next to a glacier.
I say go for it! You won't regret the Alaska experience.