Keep an eye on Crowd Cut for local classes/opportunities. My wife got us a 2 for 1 "intro to trap shooting" class a couple years back. She'd never done it and it had been about 20 years for me. Long story short she learned well from the instructor, we had fun, and continue to shoot trap, skeet,and clays. They're actually my favorite thing to shoot and the only kind of shooting my wife loves (beside archery).
Maybe you could do an armorer's class or other technical side of the gun world. Or learn reloading. Something like that. And don't discount the fun of IDPA or other competitive games. Even some force on force airsoft can be valuable learning.
From the OP it sounds like the shotgun is your weak point (assuming you want to stay in guns and away from archery/axe throwing/blowguns/etc.). Consider trying it out. You've already got the gun.