As an actual Alpha account the only thing cost effective to move to Omega IMO is exploration.
Get a T1 exploration frig, fit it right and head out to 0.0 and farm. You can easily make a billion isk a week playing fairly casually.
Trading you simply dont have the skills to have enough market orderes to make enough. Most alphas also dont have the captial. Missions are slow and pointless, mining and production a waste of time.
Once you are omega there are plenty of other options that are viable isk sources. Prior Exploration is the only one that isnt mind bogglingly slow and boring.