Freedom of the Hills is an amazing resource. Curious about snow bollards or how to make a v-thread? Bam. Good glacier travel techniques? Bam. People have different preferences, but you can always count on FOTH to be a wonderful starting point.
This article, by certified Ohioan Brody Leven, is a really good way to start thinking about it.
http://www.tetongravity.com/story/ski/5-tips-for-aspiring-ski-mountaineers
The mountains aren't like football or tennis: you should be introduced by people who care about you, who want to show you what's out there, and prove that it's worth all the sweat and expensive gear. Community is essential. More than classes, you need three groups of people:
-Some like minded, similar ability buddies your age. People that want to learn, are about as fit as you are, and have the gear or are in a position to get it shortly. If you don't have these guys/gals, you won't get out enough to pick up the experience you need.
-Some experienced, older dudes/gals who have been around and know their shit. They've seen or had buddies die out there. They've made important mistakes and learned and are still around. Maybe they've been a guide for a while--this can be really helpful. Most importantly for this group, they need to be keen on showing you the ropes and pitons and whatever else you'll need to learn along the way. I can't emphasize these mentors enough--they've been instrumental in many things I've learned. They help to temper your youthful, "fuck it let's go" attitude. They'll show you how to be more efficient. And they'll help you to grow your circle of climbing partners.
-Some people with less knowledge or experience than you have. Maybe it's a friend you don't know too well, but they've never been out to dig a pit. Even if you've just done your Level 1, you can show them that. Maybe you teach somebody to belay at a crag. Maybe you take someone for their first tour. This is your way to give back and help people get into the thing you've gotten so much from.
It's also worth noting that mountaineering skills and stamina aren't too difficult to gain, whereas it takes forever to learn to ski well. Way easier to be a skier getting into the mountains than a mountaineer trying to start skiing. So at least you have that going for you.