I like the above comment. If you never leave your comfort zone, you will never really "learn" about weather. There's doing this, and just being dumb. But honestly, not flying because an Icing Airmet? I hope you mean icing to the surface, or maybe into your cruise altitudes. But guess what, you can still go fly, just go lower. Experience what it's like to get stuck under/over a cloud deck.
When I was flying freight, I had several low-time folks fly with me, and I'm glad I had the opportunity to show them what flying is actually about, how to manage weather situations, etc... I wish everyone had this opportunity!